Publications (by year)

Preprints

M. Romanos, T. Salisbury, S. Stephan, R. Lansford, P. Degond, A. Trescases, B. Benazeraf, Differential proliferation regulates multi-tissue morphogenesis during embryonic axial extension: Integrating viscous modeling and experimental approaches. preprint. Manuscript on Biorxiv.

P. Degond, J.-G. Liu, Binary particle collisions with mass exchange, preprint. Manuscript on arXiv.

P. Degond, G. Dimarco, M. Ferreira, S. Hecht, Modeling ballistic aggregation by time stepping approaches, preprint. Manuscript on arXiv.

R. Cont, P. Degond, L. Xuan, A mathematical framework for modelling order book dynamics, preprint. Manuscript on arXiv.

P. Degond, A. Diez, A. Frouvelle, Body-attitude coordination in arbitrary dimension, submitted. Manuscript on arXiv.

Publications in refereed journals

To appear

P. Chassonnery, J. Paupert, A. Lorsignol, C. Sévérac, M. Ousset, P. Degond, L. Casteilla, D. Peurichard, Fiber crosslinking drives the emergence of order in a 3D dynamical network model, Royal Society Open Science, to appear. Manuscript on arXiv.

P. Degond, Radial Laplacian on rotation groups, in "Particle Systems and Partial Differential Equations X" (E. Carlen, P. Goncalves and A-J. Soares eds.), Springer Proceedings in Mathematics and Statistics, to appear. Manuscript on arXiv.

Appeared online

P. Degond, A. Frouvelle, Macroscopic limit of a Fokker-Planck model of swarming rigid bodies, European Journal of Applied Mathematics, appeared online. Manuscript on arXiv.

2024

P. Aceves-Sanchez, R. Bailo, P. Degond, Z. Mercier, Pedestrian models with congestion effects, Mathematical Models and Methods in Applied Sciences, 34 (2024), pp. 1001-1041. Manuscript on arXiv.

J. Binard, P. Degond, P. Noble, Well-posedness and stability analysis of a landscape evolution model, Journal of Nonlinear Science 34 (2024), 20. Manuscript on arXiv.

P. Degond, A. Frouvelle, S. Merino-Aceituno, A. Trescases, Hyperbolicity and non-conservativity of a hydrodynamic model of swarming rigid bodies, Quarterly of Applied Mathematics, 82 (2024), pp. 35-64., Manuscript on arXiv.

2023

P. Degond, M. Pulvirenti, S. Rossi, Propagation of chaos for topological interactions by a coupling technique, Rendiconti Lincei Matematica e Applicazioni 34 (2023), pp. 641-655. Manuscript on arXiv.

P. Degond, A. Diez, Topological travelling waves of a macroscopic swarmalator model in confined geometries, Acta Applicandae Mathematicae, 188 (2023), 18. Manuscript on arXiv.

M. Barker, P. Degond, R. Martin, M. Muûls, A mean-field game model of firm-level innovation, Mathematical Models and Methods in Applied Sciences 33 (2023), pp. 929-970. Manuscript on arXiv.

2022

P. Degond, A. Manhart, S. Merino-Aceituno, D. Peurichard, L. Sala, How environment affects active particle swarms: a case study, Royal Society Open Science 9 (2022), 220791, Manuscript on arXiv.

P. Degond, A. Diez, A. Walczak, Topological states and continuum model for swarmalators without force reciprocity, Analysis and Applications, 20 (2022) pp. 1215-1270. Manuscript on arXiv.

P. Degond, S. Hecht, M. Romanos, A. Trescases. Multi-species viscous models for tissue growth: incompressible limit and qualitative behaviour, Journal of Mathematical Biology 85 (2022), 16, Manuscript on arXiv.

A. Chertock, P. Degond, G. Dimarco, M. Lukacova-Medvid’ova, A. Ruhi, On a hybrid continuum-kinetic model for complex fluids, Partial Differential Equations and Applications 3 (2022), 63 (open access). . Manuscript on arXiv

S. Hecht, G. Perez-Mockus, D. Schienstock, C. Recasens-Alvarez, S. Merino-Aceituno, M. Smith, G. Salbreux, P. Degond, J-P. Vincent, Mechanical constraints to cell cycle progression in a pseudostratefied epithelium, Current Biology, 32 (2022), pp. 2076-2083.. Manuscript on HAL.

P. Degond, A. Diez, M. Na, Bulk topological states in a new collective dynamics model, SIAM Journal on Applied Dynamical Systems 21 (2022), pp. 1455–1494., Manuscript on arXiv.

P. Degond, A. Frouvelle, J-G. Liu, From kinetic to fluid models of liquid crystals by the moment method, Kinetic and Related Models 15 (2022), pp. 417-465. Manuscript on arXiv.

M. Barker, P. Degond, M-T. Wolfram, Comparing the Best Reply strategy and Mean Field Games: The stationary case, European Journal of Applied Mathematics, 33 (2022), pp. 79-110.. Manuscript on arXiv.

2021

C. Danesin, M. Ferreira, P. Degond, E. Theveneau, Anteroposterior elongation of the chicken anterior trunk neural tube is hindered by interaction with its surrounding tissues, Cells & Development, 168 (2021), 203723.

P. Degond, S. Jin, Y. Zhu, An uncertainty quantification approach to the study of gene expression robustness, Methods and Applications of Analysis, 28 (2021), pp. 195-220. Manuscript on arXiv.

P. Aceves-Sanchez, B. Aymard, D. Peurichard, P. Kennel, A. Lorsignol, F. Plouraboue, L. Casteilla, P. Degond, A new model for the emergence of blood capillary networks, Networks and Heterogeneous Media, 16 (2021), pp. 91-138. Manuscript on arXiv.

2020

P. Aceves-Sanchez, P. Degond, E. E. Keaveny, A. Manhart, S. Merino-Aceituno, D. Peurichard, Large-scale dynamics of self-propelled particles moving through obstacles: model derivation and pattern formation, Bulletin of Mathematical BIology, 82 (2020), 129 (open access).

J. Barré, P. Degond, D. Peurichard, E. Zatorska, Modelling pattern formation through diﬀerential repulsion, Networks and Heterogeneous media, 15 (2020), pp. 307-352. Manuscript of arXiv.

P. Degond, A. Diez, A. Frouvelle, S. Merino-Aceituno, Phase transitions and macroscopic limits in a BGK model of body-attitude coordination, Journal of Nonlinear Science, 30 (2020), pp. 2671-2736., Manuscript on arXiv.

P. Degond, S. Merino-Aceituno, Nematic alignment of self-propelled particles: from particle to macroscopic dynamics, Mathematical Models and Methods in Applied Sciences, 30 (2020), pp. 1935-1986 (open access).

P. Degond, M. Herda, S. Mirrahimi, A Fokker-Planck approach to the study of robustness in gene expression, Mathematical Biosciences and Engineering, 17 (2020), pp. 6459-6486.

P. Degond, M. Engel, J-G. Liu, R. Pego, A Markov jump process modelling animal group size statistics, Communications in Mathematical Sciences 18 (2020), pp. 55–89. Manuscript on arXiv.

P. Degond, M. A. Ferreira, S. Merino-Aceituno, M. Nahon, A new continuum theory for incompressible swelling materials, Multiscale Modeling & Simulation,18, (2020), pp. 163-197, Manuscript on arXiv.

P. Degond, S. Hecht, N. Vauchelet, Incompressible limit of a continuum model of tissue growth for two cell populations, Networks and Heterogeneous media 15 (2020), pp. 57-85. Manuscript on arXiv.

2019

M. A. Ferreira, E. Despin-Guitard, F. Duarte, P. Degond, E. Theveneau, Interkinetic nuclear movements promote apical expansion in pseudostratified epithelia at the expense of apicobasal elongation, PLoS Computational Biology 15 (2019), e1007171.

P. Aceves-Sanchez, M. Bostan, J-A. Carrillo, P. Degond, Hydrodynamic limits for kinetic ﬂocking models of Cucker-Smale type, Mathematical Biosciences and Engineering 16 (2019), pp. 7883-7910 (open access).

P. Degond, M. Pulvirenti, Propagation of chaos for topological interactions, Annals of Applied Probability 29 (2019), pp. 2594-2612. Manuscript on arXiv.

A. Chertock, P. Degond, S. Hecht, J-P. Vincent, Incompressible limit of a continuum model of tissue growth with segregation for two cell populations, Mathematical Biosciences and Engineering, 16 (2019), pp. 5804-5835 (open access)

K. Singh, B. P. Muljadi, A. Q. Raeini, C. Jost, V. Vandeginste, M. J. Blunt, G. Theraulaz, P. Degond, The architectural design of smart ventilation and drainage systems in termite nests, ScienceAdvances 5 (2019), eaat8520 (open access)

P. Degond, S. Merino-Aceituno, F. Vergnet, H. Yu, Coupled Self-Organized Hydrodynamics and Stokes models for suspensions of active particles. Journal of Mathematical Fluid Mechanics 21 (2019) 6 (open access).

D. Peurichard, M. Ousset, J. Paupert, B. Aymard, A. Lorsignol, L. Casteilla, P. Degond, Extra-cellular matrix rigidity may dictate the fate of injury outcome, Journal of Theoretical Biology 469 (2019), pp. 127-136. Manuscript on arxiv

2018

S. Motsch, M. Moussaïd, E. G. Guillot, M. Moreau, J. Pettré, G. Theraulaz, C. Appert-Rolland, P. Degond, Forecasting crowd dynamics through coarse-grained data analysis, Mathematical Biosciences and Engineering 15 (2018) pp. 1271-1290 (open access),

P. Degond, A. Manhart, H. Yu, An age-structured continuum model for myxobacteria, Mathematical Models and Methods in Applied Sciences 28 (2018), pp. 1737-1770 (open access),

P. Degond, P. Minakowski, L. Navoret, E. Zatorska, Finite Volume approximations of the Euler system with variable congestion. Computers & Fluids, 169 (2018), pp. 23-39. (open access).

I, David, P. Kohnke, J. Fehrenbach, A. R. Lopes Simoes, E. Debreuve, X. Descombes, F. Plouraboue, P. Degond, X. Druart, New objective measurements of semen wave motion are associated with fertility in sheep, Reproduction, Fertility and Development, 30 (2018), pp. 889-896.

P. Degond, P. Minakowski, E. Zatorska, Transport of congestion in two-phase compressible/incompressible flows. Nonlinear Analysis, Real World Applications, 42 (2018), pp. 485-510 (open access).

J. Barré, J. A. Carrillo de la Plata, P. Degond, D. Peurichard, E. Zatorska, Particle interactions mediated by dynamical networks: assessment of macroscopic descriptions, Journal of Nonlinear Science, 28 (2018), pp. 235-268 (open access).

P. Degond, A. Frouvelle, S. Merino-Aceituno, A. Trescases, Quaternions in collective dynamics. Multiscale Modeling & Simulation, 16 (2018), pp. 28-77 (open access).

2017

A. Blanchet, P. Degond, Kinetic models for topological nearest-neighbor interactions. Journal of Statistical Physics, 169 (2017), pp. 929-950 (open access).

J. Barré, P. Degond, E. Zatorska, Kinetic theory of particle interactions mediated by dynamical networks. Multiscale Modeling & Simulation, 15 (2017), pp. 1294-1323 (open access).

M. Leroy-Lerêtre, G.Dimarco, M. Cazales, Marie-Laure Boizeau, B. Ducommun, V. Lobjois, P. Degond, Are tumor cell lineages solely shaped by mechanical forces ?, Bulletin of Mathematical Biology, 79 (2017), pp. 2356–2393 (open access).

D. Peurichard, F. Delebecque, A. Lorsignol, C. Barreau, J. Rouquette, X. Descombes, L. Casteilla, P. Degond, Simple mechanical cues could explain adipose tissue morphology, Journal of Theoretical Biology, 429 (2017), pp. 61-81 (open access).

P. Degond, M. Herty, J-G Liu, Meanfield games and model predictive control, Communications in Mathematical Sciences, 15 (2017), pp. 1403-1422. Manuscript on arXiv.

P. Degond, A. Frouvelle, S. Merino-Aceituno, A new flocking model through body attitude coordination. Mathematical Models and Methods in Applied Sciences, 27 (2017) pp. 1005–1049. (open access).

P. Degond, M. Engel, Numerical approximation of a coagulation-Fragmentation Model for Animal Group Size Statistics. Networks and Heterogeneous Media, 12 (2017), pp. 217-243 (open access).

P. Degond, F. Deluzet, Asymptotic-Preserving methods and multiscale models for plasma physics. Journal of Computational Physics 336 (2017), pp. 429-457. Manuscript on arXiv.

P. Degond, J-G. Liu, R. L. Pego, Coagulation-fragmentation model for animal group-size statistics, Journal of Nonlinear Science, 27 (2017), pp 379–424 (open access).

P. Degond, A. Manhart, H. Yu, A continuum model for nematic alignment of self-propelled particles, Discrete and Continuum Dynamical Systems Series B, 22 (2017), pp. 1295–1327 (open access).

A. Chertock, P. Degond, J. Neusser, An Asymptotic-Preserving method for a relaxation of the Navier-Stokes-Korteweg equations, Journal of Computational Physics, 335 (2017), pp. 387–403. (open access).

P. Degond, J-G. Liu, S. Merino-Aceituno, T. Tardiveau, Continuum dynamics of the intention field under weakly cohesive social interactions. Mathematical Models and Methods in Applied Sciences 27 (2017), pp. 159-182 (open access).

P. Degond, M. A. Ferreira, S. Motsch, Damped Arrow-Hurwicz algorithm for sphere packing. Journal of Computational Physics, 332 (2017), pp. 47-65 (open access).

P. Degond, F. Deluzet, D. Doyen, Asymptotic-Preserving Particle-In-Cell methods for the Vlasov-Maxwell system in the quasi-neutral limit. Journal of Computational Physics, 330 (2017), pp. 467-492 . Manuscript on arXiv

P. Degond, S. Henkes, H. Yu, Self-Organized Hydrodynamics with density-dependent velocity, Kinetic and Related Models, 10 (2017), pp. 197-213 (open access).

2016

P. Degond, F. Filbet, On the asymptotic limit of the three dimensional Vlasov-Poisson system for large magnetic field : formal derivation, Journal of Statistical Physics, 165 (2016), pp. 765-784 (open access).

A. Creppy, F. Plouraboué, O. Praud, X. Druart, S. Cazin, H. Yu, P. Degond, Symmetry-breaking phase-transitions in highly concentrated semen, Journal of the Royal Society Interface, 13 (2016), 20160575 (open access). Featured in Imperial College News

A. B. T. Barbaro, J. A. Cañizo, J. A. Carrillo, P. Degond, Phase Transitions in a kinetic flocking model of Cucker-Smale type. Multiscale Modeling & Simulation 14 (2016), pp. 1063-1088 (open access).

A. Blanchet, P. Degond, Topological interactions in a Boltzmann-type framework, Journal of Statistical Physics, 163 (2016), pp. 41–60 (open access).

P. Degond, F. Delebecque, D. Peurichard, Continuum model for linked fibers with alignment interactions, Mathematical Models and Methods in Applied Sciences, 26 (2016) pp. 269–318 (open access).

2015

B. P. Muljadi, J. Narski, A. Lozinski, P. Degond, Non-conforming multiscale finite element method for Stokes flows in heterogeneous media. Part 1: methodologies and numerical experiments. Multiscale Modeling & Simulation, 13 (2015) pp. 1146–1172.. Manuscript on arXiv.

I. David, P. Kohnke, G. Lagriffoul, O. Praud, F. Plouarboué, P Degond, X. Druart, Mass sperm motility is associated with fertility in sheep, Animal Reproduction Science, 161 (2015), pp. 75-81 (open access).

P. Degond, L. Navoret, A multi-layer model for self-propelled disks interacting through alignment and volume exclusion, Mathematical Models and Methods in Applied Sciences, 25 (2015), 2439-2475 (open access).

J. Fehrenbach, J. Narski, J. Hua, S. Lemercier, A. Jelic, C. Appert-Rolland, S. Donikian, J. Pettré, P. Degond, Time-delayed Follow-the-Leader model for pedestrians walking in line, Networks and Heterogeneous Media, 10 (2015), 579-608. Manuscript on arXiv.

E. A. Carlen, M. C. Carvalho, P. Degond, B. Wennberg, A Boltzmann model for rod alignment and schooling fish. Nonlinearity, 28 (2015) 1783–1803. Manuscript on arXiv

P. Degond, G Dimarco, T. B. N. Mac, N. Wang, Macroscopic models of collective motion with repulsion, Communications in Mathematical Sciences, 13 (2015), pp. 1615 – 1638.

P. Degond, A. Lozinski, B. P. Muljadi, J. Narski, Crouzeix-Raviart MsFEM with Bubble Functions for Diffusion and Advection-Diff.usion in Perforated Media. Communications in Computational Physics, 17 (2015), pp. 887-907. Manuscript on arXiv

P. Degond, A. Frouvelle, J.-G. Liu, Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics, Archive for Rational Mechanics and Analysis, 216 (2015), pp 63-115.

P. Degond, H. Yu, Self-Organized Hydrodynamics in an annular domain: modal analysis and nonlinear effects, Mathematical Models and Methods in Applied Sciences, 25 (2015) pp. 495–519.

2014

P. Degond, J.-G. Liu, C. Ringhofer, Evolution of wealth in a nonconservative economy driven by local Nash equilibria. Philosophical Transactions of the Royal Society A, 372 (2014), 20130394.

P. Degond, A. Frouvelle, G. Raoul, Local stability of perfect alignment for a spatially homogeneous kinetic model. Journal of Statistical Physics, 157 (2014), pp. 84-112.

P. Degond, M. Herty, J.-G. Liu, Flow on sweeping networks, Multiscale Modeling & Simulation, 12 (2014) pp. 538-565.. Manuscript on arXiv

D. Chae, P. Degond, J.-G. Liu, Well-posedness for Hall-magnetohydrodynamics, Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire, 31 (2014) pp. 555–565. Manuscript on arXiv.

A. Barbaro, P. Degond, Phase transition and diffusion among socially interacting self-propelled agents, Discrete and Continuum Dynamical Systems B,19 (2014) pp. 1249-1278. Manuscript on arXiv.

P. Degond, J.-G. Liu, C. Ringhofer, Large-scale dynamics of Mean-Field Games driven by local Nash equilibria (previously: A Nash equilibrium macroscopic closure for kinetic models coupled with Mean-Field Games), Journal of Nonlinear Science 24 (2014), pp. 93-115. Manuscript (first version) on arXiv..

P. Degond, J.-G. Liu, C. Ringhofer, Evolution of the distribution of wealth in an economic environment driven by local Nash equilibria, Journal of Statistical Physics, 154 (2014), pp. 751-780..

P. Degond, G. Dimarco, T. B. N. Mac, Hydrodynamics of the Kuramoto-Vicsek model of rotating self-propelled particles, Mathematical Models and Methods in Applied Sciences, 24 (2014) pp. 277–325..

F. Cordier, P. Degond, A. Kumbaro, Phase appearance or disappearance in two-phase flows, Journal of Scientific Computing, 58 (2014), pp. 115-148, Manuscript on arXiv.

2013

P. Degond, C. Appert-Rolland, J. Pettre, G. Theraulaz, Vision-based macroscopic pedestrian models, Kinetic and related models 6 (2013), 809-839. Manuscript on arXiv

P. Degond, J-G. Liu, S. Motsch, V. Panferov, Hydrodynamic models of self-organized dynamics: derivation and existence theory,Methods and Applications of Analysis, 20 (2013), 089-114.

E. Carlen, R. Chatelin, P. Degond, and B Wennberg, Kinetic hierarchy and propagation of chaos in biological swarm models, Physica D 260 (2013), 90-111, Manuscript on arXiv.

P. Degond, C. Appert-Rolland, M. Moussaid, J. Pettre, G. Theraulaz, A hierarchy of heuristic-based models of crowd dynamics, Journal of Statistical Physics, 152 (2013), pp. 1033-1068. manuscript on arXiv

E. Boissard, P. Degond, S. Motsch, Trail formation based on directed pheromone deposition, Journal of Mathematical Biology, 66 (2013), pp. 1267-1301.

P. Degond, A. Frouvelle, J-G. Liu, Macroscopic limits and phase transition in a system of self-propelled particles, Journal of Nonlinear Science 23 (2013), pp. 427-456.

E. Carlen, P. Degond, and B Wennberg, Kinetic limits for pair-interaction driven master equations and biological swarm models, Mathematical Models and Methods in Applied Sciences, 23 (2013), pp. 1339-1376.

P. Degond, J. Hua, Self-Organized Hydrodynamics with congestion and path formation in crowds, Journal of Computational Physics, 237 (2013), pp. 299–319, Manuscript on arxiv.

2012

F. Cordier, P. Degond, A. Kumbaro, An Asymptotic-Preserving all-speed scheme for the Euler and Navier-Stokes equations, Journal of Computational Physics, 231 (2012), pp. 5685–5704 Manuscript on arXiv.

P. Degond, G Dimarco, Fluid simulations with localized Boltzmann upscaling by Direct Simulation Monte-Carlo, Journal of Computational Physics, 231 (2012), pp. 2414-2437. Manuscript on arXiv.

P. Degond, J-G. Liu, Hydrodynamics of self-alignment interactions with precession and derivation of the Landau-Lifschitz-Gilbert equation, Mathematical Models and Methods in Applied Sciences, 22, Suppl. 1 (2012), 1140001 (18 pages).

M. Moussaïd, E. G. Guillot, M. Moreau, J. Fehrenbach, O. Chabiron, S. Lemercier, J. Pettré, C. Appert-Rolland, P. Degond, G. Theraulaz, Traffic Instabilities in Self-organized Pedestrian Crowds, PLoS Computational Biology, 8 (2012), e1002442 (open access).

P. Degond, H. Liu, D. Savelief, M-H. Vignal, Numerical approximation of the Euler-Poisson-Boltzmann model in the quasineutral limit, Journal of Scientific Computing, 51 (2012), pp. 59–86. manuscript on arXiv.

P. Degond, A. Lozinski, J. Narski & C. Negulescu, An Asymptotic-Preserving method for highly anisotropic elliptic equations based on a micro-macro decomposition, Journal of Computational Physics,231 (2012), pp. 2724-2740. Manuscript on arXiv.

P. Degond, F. Deluzet, A. Lozinski, J. Narski & C. Negulescu, Duality-based Asymptotic-Preserving method for highly anisotropic diffusion equations, Communications in Mathematical Sciences, 10 (2012), pp. 1-31. Manuscript on arXiv.

S. Brull, P. Degond, F. Deluzet, Degenerate anisotropic elliptic problems and magnetized plasma simulations, Communications in Computational Physics (CICP), 11 (2012), pp. 147-178. Manuscript on arXiv.

P. Degond, F. Deluzet, D. Savelief, Numerical approximation of the Euler-Maxwell model in the quasineutral limit, Journal of Computational Physics, 231 (2012), pp. 1917-1946. Manuscript on arXiv..

2011

M. Acheritogaray, P. Degond, A. Frouvelle, J-G. Liu, Kinetic formulation and global existence for the Hall-Magneto-hydrodynamics system, Kinetic and Related Models 4 (2011), pp. 901-918. Manuscript on arXiv.

S. Brull, P. Degond, F. Deluzet, A. Mouton, Asymptotic-Preserving scheme for a bi-fluid Euler-Lorentz model, Kinetic and Related Models 4 (2011), pp. 991 - 1023. Manuscript on arXiv..

P. Degond, J. Hua, L. Navoret, Numerical simulations of the Euler system with congestion constraint, Journal of Computational Physics, 230 (2011), pp. 8057-8088. Manuscript or arXiv.

C. Appert-Rolland, P. Degond, S. Motsch, Two-way multi-lane traffic model for pedestrians in corridors, Networks and Heterogeneous Media, 6 (2011), 351-381. Manuscript on arXiv..

P. Degond, S. Motsch, A macroscopic model for a system of swarming agents using curvature control, Journal of Statistical Physics, 143 (2011), pp. 685-714.

P. Degond, M. Tang, All speed scheme for the low mach number limit of the Isentropic Euler equation, Communications in Computational Physics, 10 (2011), pp. 1-31. Manuscript on arXiv.

P. Degond, G. Dimarco, L. Pareschi, The Moment Guided Monte Carlo Method, International Journal for Numerical Methods in Fluids, 67 (2011), pp. 189-213. Manuscript on arXiv.

K. Aoki, P. Charrier, P. Degond, A hierarchy of models related to nanoflows and surface diffusion, Kinetic and Related Models, 4 (2011), pp. 53-85. Manuscript on arXiv.

2010

P. Degond, T. Yang, Diffusion in a continuum model of self-propelled particles with alignment interaction, Mathematical Models and Methods in Applied Sciences, 20, Suppl. (2010), pp. 1459n1490.

P. Degond, G. Dimarco, L. Mieussens, A Multiscale Kinetic-Fluid Solver with Dynamic Localization of Kinetic Effects, Journal of Computational Physics, 229 (2010), pp. 4907–4933. Manuscript on arXiv.

P. Degond, F. Deluzet, L. Navoret, A-B. Sun, M-H.Vignal, Asymptotic-Preserving Particle-In-Cell method for the Vlasov-Poisson system near quasineutrality, Journal of Computational Physics, 229 (2010), pp. 5630–5652, Manuscript on HAL.

P. Degond, L. Navoret, R. Bon, D. Sanchez, Congestion in a macroscopic model of self-driven particles modeling gregariousness, Journal of Statistical Physics, 138 (2010), pp. 85-125. Manuscript on arXiv.

P. Degond, A. Lozinski and R. G. Owens, Kinetic models for dilute solutions of dumbbells in non-homogeneous flows revisited, Journal of Non-Newtonian Fluid Mechanics, 165 (2010), pp. 509–518, Manuscript on arXiv.

P. Degond, F. Deluzet, C. Negulescu, An Asymptotic-Preserving scheme for strongly anisotropic problems, Multiscale Modeling & Simulation, 8 (2010), pp. 645-666. Manuscript on arXiv.

2009

P. Degond, H. Liu, Kinetic models for polymers with inertial effects, Networks and Heterogeneous Media, 4 (2009), pp. 625-647. Manuscript on arXiv. .

R. Belaouar, N. Crouseilles, P. Degond, E. Sonnendrücker, An asymptotically stable semi-lagrangian scheme in the quasi-neutral limit, Journal of Scientific Computing, 41 (2009), pp. 341-365.

P. Degond, F. Deluzet, A. Sangam, M-H. Vignal, An asymptotic preserving scheme for the Euler equations in a strong magnetic field, Journal of Computational Physics, 228 (2009), pp. 3540-3558. Manuscript on arXiv. .

I. Choquet, P. Degond, B. Lucquin-Desreux, A strong ionization model in plasma physics, Mathematical and Computer Modelling, 49 (2009), pp. 88-113.

K. Aoki, P. Degond, L. Mieussens, Numerical simulations of rarefied gases in curved channels: thermal creep, circulating flow and pumping effect, Communications in Computational Physics, 6 (2009), pp. 919-954.

2008

P. Degond, S. Goettlich, A. Klar, M. Seaid, A. Unterreiter, Derivation of a kinetic model from a stochastic particle system, Kinetic and Related Models., 1 (2008), pp. 557-572.

P. Degond, S. Jin, M. Tang, On the time-splitting spectral method for the complex Ginzburg-Landau equation in the large time and space scale limit, SIAM Journal on Scientific Computing, 30 (2008), pp. 2466-2487.

P. Degond, M. Delitala, Modelling and simulation of vehicular traffic jam formation, Kinetic and Related Models 1 (2008), pp. 279-293.

F. Berthelin, P. Degond, V. Le Blanc, S. Moutari, J. Royer, M. Rascle, A Traffic-Flow Model with Constraints for the Modeling of Traffic Jams, Mathematical Models and Methods in Applied Sciences 18, Suppl. (2008), pp. 1269-1298.

P. Degond, S. Motsch, Large scale dynamics of the Persistent Turning Walker model of fish behavior, Journal of Statistical Physics, 131 (2008), pp. 989-1021.

J-C. Mateo-Velez, P. Degond, F. Rogier, A. Séraudie, F. Thivet, Modelling wire-to-wire corona discharge action on aerodynamics and comparison to experiment, Journal of Physics D: applied physics, 41 (2008) 035205 (11p.).

P. Degond, J-G. Liu, M-H. Vignal, Analysis of an asymptotic preserving scheme for the Euler-Poison system in the quasineutral limit, SIAM J. Numer. Anal. 46 (2008), pp. 1298-1322.

K. Aoki, P. Degond, L. Mieussens, S. Takata, H. Yosida, A diffuion model for rarefied flows in curved channels, Multiscale Modeling & Simulation, 6 (2008), pp. 1281-1316.

P. Degond, S. Motsch, Continuum limit of self-driven particles with orientation interaction, Mathematical Models and Methods in Applied Sciences 18, Suppl. (2008), pp. 1193-1215.

F. Berthelin, P. Degond, M. Delitala, M. Rascle, A model for the formation and evolution of traffic jams, Arch. Rat. Mech. Anal., 187 (2008), pp. 185-220.

2007

P. Degond, S. Jin, J-G. Liu, Mach-number uniform asymptotic-preserving gauge schemes for compressible flows, Bulletin of the Institute of Mathematics, Academia Sinica (New Series) 2 (2007), pp. 851-892.

P. Degond, S. Gallego, F. Méhats, On quantum hydrodynamic and quantum energy-transport models, Communications in Mathematical Sciences, 5 (2007), pp. 887-908.

P. Crispel, P. Degond, M-H. Vignal, A plasma expansion model based on the full Euler-Poisson system, Mathematical Models and Methods in Applied Sciences, 17 (2007), pp. 1129-1158.

P. Degond, G. Dimarco, L. Mieussens, A moving interface method for dynamic kinetic-fluid coupling, Journal of Computational Physics, 227 (2007), pp. 1176-1208.

K. Aoki, P. Degond, S. Takata, H. Yosida, Diffusion models for Knudsen compressors, Physics of Fluids, 19 (2007), 117103 (20 p.).

P. Degond, B. Lucquin-Desreux, Mathematical models of electrical discharges in air at atmospheric pressure: a derivation from asymptotic analysis, International Journal of Computing Science and Mathematics, 1 (2007), pp. 58-97.

J-P. Bourgade, P. Degond, N. Mauser, C. Ringhofer, Quantum corrections to semiclassical transport in nanoscale devices using entropy principles,Journal of Computational Electronics, 6 (2007), pp. 117-120.

P. Degond, S. Gallego, F. Méhats, Simulation of a resonant tunneling diode using an entropic quantum drift-difusion model, Journal of Computational Electronics, 6 (2007), pp. 133-136.

I. Choquet, P. Degond, B. Lucquin-Desreux, A hierarchy of diffusion models for partially ionized plasmas, Discrete and Continuous Dynamical Systems, Series B., 8 (2007), pp. 735-772.

P. Degond, C. Ringhofer, Stochastic dynamics of long supply chains with random breakdowns, SIAM J. Appl. Math. 68 (2007), pp. 59-79.

P. Degond, S. Gallego, F. Méhats, Isothermal quantum hydrodynamics: derivation, asymptotic analysis and simulation, Multiscale Modeling & Simulation, 6 (2007), pp. 246-272.

P. Degond, S. Göttlich, M. Herty, A. Klar, A network model for supply chains with multiple policies, Multiscale Modeling & Simulation, 6 (2007), pp. 820-837.

P. Degond, B. Wennberg, Mass and energy balance laws derived from high-field limits of thermostatted Boltzmann equations, Communications in Mathematical Sciences, 5 (2007), pp. 355-382.

F. Castella, P. Degond, T. Goudon, Asymptotic problems for wave-particle interactions: quantum and classical models, Nonlinearity, 20 (2007), pp. 1677-1720.

F. Castella, P. Degond, T. Goudon, Large time dynamics of a classical system subject to a fast varying force, Communications in Mathematical Physics, 276 (2007), pp. 23-49.

P. Crispel, P. Degond, M-H. Vignal, An asymptotic preserving scheme for the two-fluid Euler-Poisson model in the quasineutral limit,Journal of Computational Physics., 223 (2007), pp. 208-234.

P. Degond, S. Gallego, F. Méhats, An entropic quantum drift-diffusion model for electron transport in resonant tunneling diodes, Journal of Computational Physics, 221 (2007), pp. 226-249.

C. Besse, J. Claudel, P. Degond, F. Deluzet, G. Gallice, C. Tessieras, Numerical simulations of the ionospheric striation model in a non-uniform magnetic field, Computer Physics Communications, 176 (2007), pp. 75-90.

D. Armbruster, P. Degond, C. Ringhofer, Kinetic and fluid models for supply chains supporting policy attributes, Bulletin of the Institute of Mathematics, Academia Sinica (New Series), 2 (2007), pp. 433-460.

C. Besse, P. Degond, H-J. Hwang, R. Poncet, Nonlinear instability of the two-dimensional striation model about smooth steady states, Communications in Partial Differential Equations, 32 (2007), pp. 1017-1041.

P. Degond, S. Gallego, F. Méhats, An asymptotic-preserving scheme for the Schrödinger equation in the semi-classical limit, C. R. Acad. Sci. Paris, Ser I. 345 (2007), pp. 531-536.

P. Degond, S. Motsch, Macroscopic limit of self-driven particles with orientation interaction, C. R. Acad. Sci. Paris, Ser I. 345 (2007), pp. 555-560.

2006

V. Bagland, P. Degond, M. Lemou, Moment systems derived from relativistic kinetic equations, Journal of Statistical Physics, 125 (2006), pp. 617-655.

P. Degond, J-G. Liu, L. Mieussens, Macroscopic fluid models with localized kinetic upscaling effects, Multiscale Modeling & Simulation, 5 (2006), pp. 940-979.

P. Degond, C. Parzani, M-H. Vignal, A Boltzmann model for trapped particles in a surface potential, Multiscale Modeling & Simulation, 5 (2006), pp. 364-392.

F. Castella, P. Degond, T. Goudon, Diffusion dynamics of classical systems driven by an oscillatory force, Journal of Statistical Physics, 124 (2006), pp. 913-950.

J-P. Bourgade, P. Degond, F. Méhats, C. Ringhofer, On quantum extensions to classical Spherical Harmonics Expansion / Fokker-Planck models, Journal of Mathematical Physics, 47 (2006), 043302 (26 p.).

D. Armbruster, P. Degond, C. Ringhofer, A model for the dynamics of large queuing networks and supply chains, SIAM J. Appl. Math. 66 (2006), pp. 896-920.

P. Degond, F. Deluzet, L. Navoret, An asymptotically stable Particle-in-Cell (PIC) scheme for collisionless plasma simulations near quasineutrality, C. R. Acad. Sci. Paris, Ser I, 343 (2006), pp. 613-618.

2005

P. Degond, S. Jin, L. Mieussens, A smooth transition model between kinetic and hydrodynamic equations, Journal of Computational Physics, 209 (2005), pp. 665-694.

P. Degond, G. Quinio, F. Rogier, Asymptotic analysis of a simple ionization kinetics of air flows at atmospheric pressure, Journal of Physics D: Applied Physics, 38 (2005), pp. 1371-1382.

P. Crispel, P. Degond, M-H. Vignal, Quasi-neutral fluid models for current-carrying plasmas, Journal of Computational Physics, 205 (2005), pp. 408-438.

C. Besse, J. Claudel, P. Degond, F. Deluzet, G. Gallice, C. Tessieras, Instability of the ionospheric plasma: modeling and analysis, SIAM Journal on Applied Mathematics, 65 (2005), pp. 2178-2198.

P. Degond, F. Méhats, C. Ringhofer, Quantum energy-transport and drift-diffusion models, Journal of Statistical Physics, 118 (2005), pp. 625-667.

N. Crouseilles, P. Degond, M. Lemou, A hybrid kinetic-fluid model for solving the Vlasov-BGK equation, Journal of Computational Physics, 203 (2005), pp. 572-601.

M. Baro, N. Ben Abdallah, P. Degond, A. El Ayyadi, A 1D coupled Schrödinger drift-diffusion model including collisions, Journal of Computational Physics, 203 (2005), pp. 129-153.

P. Degond, S. Jin, A smooth transition model between kinetic and diffusion equations, SIAM Journal on Numerical Analysis 42 (2005), pp. 2671-2687.

P. Crispel, P. Degond, M-H. Vignal, An asymptotically stable discretization for the Euler-Poisson system in the quasineutral limit, C. R. Acad. Sci. Paris, Ser I, 341 (2005), pp. 341-346.

2004

N. Crouseilles, P. Degond, M. Lemou, A hybrid kinetic-fluid model for solving the gas dynamics Boltzmann-BGK equation, Journal of Computational Physics, 199 (2004), pp. 776-806.

C. Besse, B. Bidégaray-Fesquet, A. Bourgeade, P. Degond, O. Saut, A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals: an application to KDP, ESAIM: Mathematical Modelling and Numerical Analysis, 38 (2004), pp. 321-344.

B. Bidégaray-Fesquet, F. Castella, P. Degond, From Bloch model to the rate equations, Discrete and Continuous Dynamical Systems, 11 (2004), pp. 1-26.

C. Besse, J. Claudel, P. Degond, F. Deluzet, G. Gallice, C. Tessieras, A model hierarchy for ionospheric plasma modeling, Mathematical Models and Methods in Applied Sciences 14 (2004), pp. 393-415.

P. Crispel, P. Degond, C. Parzani, M-H. Vignal, Trois formulations d'un modèle de plasma quasi-neutre avec courant non-nul, C. R. Acad. Sci. Paris, Ser I, 338 (2004), pp. 327-332.

2003

P. Degond, C. Parzani, M-H. Vignal, Plasma expansion in vacuum: modeling the breakdown of quasineutrality, Multiscale Modeling & Simulation 2 (2003) pp. 158-178.

P. Degond, C. Parzani, M-H. Vignal, A one-dimensional model of plasma expansion, Mathematical and Computer Modelling, 38 (2003), pp. 1093-1099.

P. Degond, M. Lemou, J-L. Lòpez, A kinetic description of anisotropic fluids with multivalued internal energy, European Journal of Mechanics B/fluids, 22 (2003), pp. 487-509.

P. Degond, K. Zhang, A scattering matrix model of semiconductor superlattices in multidimensional wave-vector space and its diffusion limit, Chinese Annals of Mathematics, 24B (2003), pp. 167-190.

K. Aoki, P. Degond, Homogenization of a flow in a periodic channel of small section, Multiscale Modeling & Simulation, 1 (2003), pp. 304-334.

I. Choquet, P. Degond, C. Schmeiser, Hydrodynamic models for charge carriers, Communications in Mathematical Sciences, 1 (2003), pp. 74-86.

I. Choquet, P. Degond, C. Schmeiser, Energy-Transport models for charge carriers involving impact ionization in semiconductors, Transport Theory and Statistical Physics, 32 (2003), pp. 99-132.

P. Degond, C. Ringhofer, Quantum moment hydrodynamics and the entropy principle, Journal of Statistical Physics, 112 (2003), pp. 587-628.

N. Ben Abdallah, P. Degond, A. Mellet and F. Poupaud, Electron transport in semiconductor superlattices, Quarterly of Applied Mathematics, 61 (2003), pp. 161-192.

P. Degond, C. Ringhofer, Binary quantum collision operators conserving mass momentum and energy, C. R. Acad. Sci. Paris, Ser I, 336 (2003), pp. 785-790.

N. Crouseilles, P. Degond, M. Lemou, Hybrid kinetic/fluid models for nonequilibrium systems, C. R. Acad. Sci. Paris, Ser I, 336 (2003), pp. 359-364.

2002

P. Degond, A. El Ayyadi, A coupled Schrödinger Drift-Diffusion model for quantum semiconductor device simulations, Journal of Computational Physics, 181 (2002), pp. 222-259.

P. Degond, M. Lemou, Turbulence models for incompressible fluids derived from kinetic theory, Journal of Mathematical Fluid Mechanics, 4 (2002), pp. 257-284.

P. Degond, K. Zhang, Diffusion approximation of a scattering matrix model of a semiconductor superlattice, SIAM Journal on Applied Mathematics, 63 (2002), pp. 279-298.

P. Degond, M. Lemou, M. Picasso, Viscoelastic fluid models derived from kinetic equations for polymers, SIAM Journal on Applied Mathematics, 62 (2002), pp. 1501-1519.

P. Degond, V. Latocha, S. Mancini, A. Mellet, Diffusion dynamics of an electron gas confined between two plates, Methods and Applications of Analysis, 9 (2002), pp. 127-150.

M-J. Càceres, J-A. Carrillo, P. Degond, The Child-Langmuir limit for semiconductors: a numerical validation, ESAIM: Mathematical Modelling and Numerical Analysis, 36 (2002), pp. 1161-1176.

N. Ben Abdallah, P. Degond and I. Gamba, Coupling one-dimensional time-dependent classical and quantum transport models, Journal of Mathematical Physics, 43 (2002), pp. 1-24.

V. Latocha, L. Garrigues, P. Degond, J. P. Boeuf, Numerical Simulation of Electron Transport in the Channel Region of a Stationary Plasma Thruster, Plasma Sources Science and Technology, 11 (2002), pp. 104-114.

P. Degond, C. Ringhofer, A note on quantum moment hydrodynamics and the entropy principle, C. R. Acad. Sci. Paris, Ser I, 335 (2002), pp. 967-972.

P. Degond, C. Parzani, M-H. Vignal, Un modèle d'expansion de plasma dans le vide, C. R. Acad. Sci. Paris, Ser I, 335 (2002), pp. 399-404.

P. Degond, A. Klar, A relaxation approximation for transport equations in the diffusive limit, Applied Mathematics Letters, 15 (2002), pp. 131-135.

2001

P. Degond, A. Jüngel, High field approximations of the energy-transport model for semiconductors with non parabolic band structure, Zeitschrifts für Angewandte Mathematik und Physik, 52 (2001), PP. 1053-1070.

P. Degond, An infinite system of diffusion equations arising in transport theory: the coupled spherical harmonics expansion model, Mathematical Models and Methods in Applied Sciences, 11 (2001), pp. 903-932.

P. Degond, M. Lemou, On the viscosity and thermal conduction of fluids with multivalued internal energy, European Journal of Mechanics B/fluids 20 (2001), pp. 303-327.

P. Degond, S. Mancini, Diffusion driven by collisions with the boundary, Asymptotic Analysis, 27 (2001), pp. 47-73. Manuscript on HAL.

N. Ben Abdallah, P. Degond, P. Markowich, C. Schmeiser, High-field approximations of the Spherical Harmonics Expansion model for semiconductors, Zeitschrifts für Angewandte Mathematik und Physik, 52 (2001), pp. 201-230.

2000

P. Degond, T. Goudon et F. Poupaud, Diffusion limit for non homogeneous and non micro-reversible processes, Indiana University Mathematics Journal, 49 (2000), pp. 1175-1198.

P. Degond, A. Jüngel, P. Pietra, Numerical discretization of energy-transport models for semiconductors with non-parabolic band structure, SIAM Journal on Scientific Computing, 22 (2000), pp. 986-1007.

P. Degond, A. Nouri, C. Schmeiser, Macroscopic models for ionization in the presence of strong electric fields, Transport Theory and Statistical Physics, 29 (2000), pp. 551-561.

N. Ben Abdallah, P. Degond and I. Gamba, Inflow boundary conditions for the time-dependent one-dimensional Schrödinger equation, C. R. Acad. Sci. Paris, Ser I, 331 (2000), pp. 1023-1028.

1999

P. Degond, J. L. Lopèz, F. Poupaud, C. Schmeiser, Existence of solutions of a kinetic equation modeling cometary flows, Journal of Statistical Physics, 96 (1999), pp. 361-376.

N. Ben Abdallah, P. Degond, F. Méhats, The Child-Langmuir asymptotics for magnetized flows, Asymptotic Analysis, 20 (1999), pp. 97-132.

P. Degond, C. Schmeiser, Kinetic boundary layers and fluid-kinetic coupling in semiconductors, Transport Theory and Statistical Physics, 28 (1999), pp. 31-55.

F. Castella, P. Degond, Convergence of the von-Neumann equation towards the quantum Boltzmann equation in a deterministic framework, C. R. Acad. Sci. Paris, Ser I, 329 (1999), pp. 231-236.

P. Degond, P. F. Peyrard, G. Russo, Ph. Villedieu, Polynomial upwind schemes for hyperbolic systems, C. R. Acad. Sci. Paris, Ser I, 328 (1999), pp. 479-483.

1998

N. Ben Abdallah, P. Degond, F. Méhats, Mathematical models of magnetic insulation, Physics of plasmas, 5 (1998), pp. 1522-1534.

P. Degond, C. Schmeiser, Macroscopic models for semiconductor heterostructures, Journal of Mathematical Physics, 39 (1998), pp. 1-30.

P. Degond, V. Latocha, L. Guarrigues, J. P. Boeuf, Electron Transport in Stationary Plasma Thrusters, Transport Theory and Statistical Physics, 27 (1998), pp. 203-221.

P. Degond, J. L. Lopez, P. F. Peyrard, On the macroscopic dynamics induced by a model wave-particle collision operator, Continuum Mechanics and Thermodynamics, 10 (1998), pp. 153-178.

P. Degond, A model of near-wall conductivity and its application to plasma thrusters, SIAM Journal on Applied Mathematics, 58 (1998), pp. 1138-1162.

P. Degond, S. Génieys, A. Jüngel, A steady-state system in non-equilibrium thermodynamics including thermal and electrical effects, Mathematical Methods in the Applied Sciences, 21 (1998), pp. 1399-1413.

C. Buet, S. Cordier, P. Degond, Regularized Boltzmann operators, Computer and Mathematics with Applications, 35 (1998), pp. 55-74.

N. Ben Abdallah, P. Degond, P. Markowich, The quantum Child-Langmuir problem, Nonlinear Analysis, Theory, Methods and Applications, 31 (1998), pp. 629-648.

1997

P. Degond, Y. Qiu, The Child-Langmuir asymptotics for semiconductors including phonon interaction, COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, 16 (1997), pp. 157-175.

P. Degond, S. Génieys, A. Jüngel, A system of parabolic equations in nonequilibrium thermodynamics including thermal and electrical effects, Journal de Mathématiques Pures et Appliquées, 76 (1997), pp. 991-1015.

F. Assous, P. Degond, J. Segré, A new scheme to treat the numerical Tcherenkov instability for electromagnetic simulations, Journal of Computational Physics, 138 (1997), pp. 171-192.

C. Buet, S. Cordier, P. Degond, M. Lemou, Fast algorithms for numerical conservative and entropy approximations of the Fokker-Planck-Landau equation, Journal of Computational Physics, 133 (1997), pp. 310-322.

P. Degond, M. Lemou, Dispersion relations of the linearized Fokker-Planck equation, Archive for Rational Mechanics and Analysis, 138 (1997), pp. 137-167.

N. Ben Abdallah, P. Degond, P. Markowich, On a one-dimensional Schrödinger-Poisson scattering model, Zeitschrifts für Angewandte Mathematik und Physik, 48 (1997), pp. 135-155.

P. Degond, S. Génieys, A. Jüngel, Symmetrization and entropy inequality for general diffusion equations, C. R. Acad. Sci. Paris, Ser I, 325 (1997), pp. 963-968.

P. Degond, S. Génieys, A. Jüngel, An existence result for a strongly coupled parabolic system arising in nonequilibriium thermodynamics, C. R. Acad. Sci. Paris, Ser I, 325 (1997), pp. 227-232.

P. Degond, S. Génieys, A. Jüngel, An existence and uniqueness result for the stationary energy-transport model in semiconductor theory, C. R. Acad. Sci. Paris, Ser I, 324 (1997), pp. 867-872.

1996

S. Cordier, P. Degond, P. A. Markowich, C. Schmeiser, Travelling wave analysis of an isothermal Euler-Poisson model, Annales de la Faculté des Sciences de Toulouse, 5 (1996), pp. 599- 643.

F. Assous, P. Degond, J. Segré, Numerical approximation of the Maxwell equations in inhomogeneous media by a P1 conforming finite element method, Journal of Computational Physics, 128 (1996), pp. 363-380.

P. Degond, B. Lucquin-Desreux, Transport coefficients of plasmas and disparate mass binary gases, Transport Theory and Statistical Physics, 25 (1996), pp. 595-633.

N. Ben Abdallah, P. Degond, On a hierarchy of macroscopic models for semiconductors, Journal of Mathematical Physics, 37 (1996), pp. 3306-3333.

P. Degond, F. Poupaud, A. Yamnahakki, Particle simulation and asymptotic analysis of kinetic equations for modelling a Schottky diode, RAIRO Modélisation Mathématique et Analyse Numérique 30 (1996), pp. 763-795.

P. Degond, F. Poupaud, C. Schmeiser, A. Yamnahakki, Asymptotic analysis of kinetic equations for modeling a Schottky diode, Asymptotic Analysis, 13 (1996), pp. 79-94.

N. Ben Abdallah, P. Degond, A. Yamnahakki, The Child-Langmuir law as a model for electron transport in semiconductors, Solid State Electronics, 39 (1996), pp. 737-744.

N. Ben Abdallah, P. Degond, S. Génieys, An energy-transport model for semiconductors derived from the Boltzmann equation, Journal of Statistical Physics, 84 (1996), pp. 205-231.

P. Degond, B. Lucquin-Desreux, The asymptotics of collision operators for two species of particles of disparate masses, Mathematical Models and Methods in Applied Sciences 6 (1996), pp. 405-436.

P. Degond, S. Jaffard, F. Poupaud, P. A. Raviart, The Child-Langmuir Asymptotics of the Vlasov-Poisson Equation for Cylindrically or Spherically Symmetric Diodes ; part 1 : statement of the problem and basic estimates, Mathematical Methods in the Applied Sciences, 19 (1996), pp. 287-312.

P. Degond, S. Jaffard, F. Poupaud, P. A. Raviart, The Child-Langmuir Asymptotics of the Vlasov-Poisson Equation for Cylindrically or Spherically Symmetric Diodes ; part 2 : analysis of the reduced problem and determination of the Child-Langmuir current, Mathematical Methods in the Applied Sciences,19 (1996), pp. 313-340.

P. Degond, P. F. Peyrard, Un modèle de collisions ondes-particules en physique des plasmas: application à la dynamique des gaz, C. R. Acad. Sci. Paris, Ser I, 323 (1996) pp. 209-214.

P. Degond, Un modèle de conductivité pariétale : application au moteur à propulsion ionique, C. R. Acad. Sci. Paris, Ser I, 322 (1996) pp. 797-802.

P. Degond, B. Lucquin-Desreux, Comportement hydrodynamique d'un mélange gazeux formé de deux espèces de particules de masses très différentes, C. R. Acad. Sci. Paris, Ser I, 322 (1996) pp. 405-410.

1995

S. Cordier, P. Degond, P. A. Markowich, C. Schmeiser, Travelling wave analysis and jump relation for the Euler-Poisson model in the quasineutral limit, Asymptotic Analysis, 11 (1995), pp. 209-240.

N. Ben Abdallah, P. Degond, The Child-Langmuir Law for the Boltzmann Equation of Semiconductors, SIAM Journal on Mathematical Analysis, 26 (1995), pp. 364-398.

P. Degond, M. Lemou, Relations de dispersion pour l'équation de Fokker-Planck linéarisée, C. R. Acad. Sci. Paris, Ser I, 321 (1995) pp. 413-417.

1994

N. Ben Abdallah, P. Degond, C. Schmeiser, On a Mathematical Model for Hot Carrier Injection in Semiconductors, Mathematical Methods in the Applied Sciences, 17 (1994), pp. 1193-1212.

P. Degond, B. Lucquin-Desreux, An Entropy Scheme for the Fokker-Planck collision Operator of Plasma Kinetic Theory, Nümerische Mathematik, 68 (1994), pp. 239-262.

S. Cordier, P. Degond, P. A. Markowich, C. Schmeiser, Travelling waves analysis and jump relations for a fluid model of quasineutral plasma, C. R. Acad. Sci. Paris, Ser I, 318 (1994), pp. 929-934.

S. Cordier, P. Degond, P. A. Markowich, C. Schmeiser, Travelling waves analysis of an isothermal Euler Poisson model for plasmas, C. R. Acad. Sci. Paris, Ser I, 318 (1994), pp. 801- 806.

1993

F. Assous, P. Degond, E. Heintzé, P. A. Raviart, J. Segré, On a Finite-Element Method for Solving the Three-Dimensionnal Maxwell Equations, Journal of Computational Physics, 109 (1993), pp. 222-237.

P. Degond, P. A. Markowich, A Steady-State Potential Flow Model for Semiconductors, Annali di Matematica Pura ed Applicata, 165 (1993), pp. 87-98.

P. Degond, P. A. Raviart, The paraxial approximation of the Vlasov-Maxwell equations, Mathematical Models and Methods in Applied Sciences, 3 (1993), pp. 513-562.

1992

F. Assous, P. Degond, J. Segré, A Particle-tracking Method for the 3D Electromagnetic PIC codes on Unstructured Meshes, Computer Physics Communications, 72 (1992), pp. 105-114.

P. Degond, P. A. Raviart, On a Penalization of the Child-Langmuir Emission Condition for the One-Dimensional Vlasov-Poisson Equation, Asymptotic Analysis, 6 (1992), pp. 1-27.

P. Degond et B. Lucquin-Desreux, The Fokker-Planck Asymptotics of the Boltzmann Collision Operator in the Coulomb Case, Mathematical Models and Methods in Applied Sciences, 2 (1992), pp 167-182.

P. Degond, P. A. Raviart, An analysis of the Darwin model of approximation to Maxwell's equations, Forum Mathematicum, 4 (1992), pp. 13-44.

1991

A. Adolf, P. Degond, F. Hermeline, J. Marilleau, P. A. Raviart, J. Segré, New PIC codes on unstructured meshes applied to the simulation of a photcathode injector, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 304 (1991), pp. 297-299.

P. Degond, P. A. Markowich, A Mathematical Analysis of Quantum Transport in Three Dimensional Crystals, Annali di Matematica Pura ed Applicata, 160 (1991), pp. 171-191.

P. Degond, F. Hermeline, P. A. Raviart, J. Segré, Numerical Modelling of Axisymmetric Electron Beam Devices Using a Coupled Particle-Finite Element Method, IEEE Transactions on Magnetics, 27 (1991), pp. 4177-4180.

P. Degond, F. J. Mustieles, A Deterministic Particle Method for the Kinetic Model of Semiconductors: the Homogeneous Field Model, Solid State Electronics, 34 (1991), pp. 1335-1345.

P. Degond, P. A. Raviart, An Asymptotic Analysis of the One-Dimensional Vlasov-Poisson System : the Child-Langmuir Law, Asymptotic Analysis, 4 (1991), pp. 187-214.

1990

P. Degond, F. Guyot-Delaurens, F. J. Mustieles, F. Nier, Particle Simulation of Bidimensional Electron Transport Parallel to a Heterojunction Interface, COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, 9 (1990), pp. 109-116.

P. Degond, P. A. Markowich, A Quantum Transport Model for Semiconductors : the Wigner- Poisson Problem on a Bounded Domain, RAIRO Modélisation Mathématique et Analyse Numérique, 6 (1990), pp. 697-709.

P. Degond, F. Guyot-Delaurens, Particle Simulations of the Semiconductor Boltzmann Equation for One Dimensionnal Inhomogeneous Structures, Journal of Computational Physics, 90 (1990), pp. 65-97.

P. Degond, F. J. Mustieles, A Deterministic Approximation of Diffusion Equations using Particles, SIAM Journal on Scientific and Statistical Computing, 11 (1990), pp. 293-310.

P. Degond, Solutions Stationnaires Explicites du Système de Vlasov-Maxwell Relativiste, C. R. Acad. Sc. Paris, Ser I, 310 (1990), pp. 607-612.

P. Degond, P. A. Markowich, On a One-Dimensional Steady-State Hydrodynamic Model for Semiconductors, Applied Mathematics Letters, 3 (1990), pp. 25-29.

1989

P. Degond, S. Mas-Gallic, The Weighted Particle Method for Convection-Diffusion Equations, Part 1: the Case of an Isotropic Viscosity, Mathematics of Computation, 53 (1989), pp. 485-507.

P. Degond, S. Mas-Gallic, The Weighted Particle Method for Convection-Diffusion Equations, Part 2: the Anisotropic Case, Mathematics of Computation, 53 (1989), pp. 509-525.

P. Degond, B. Niclot, Numerical Analysis of the Weighted Particle Method Applied to the Semiconductor Boltzmann Equation, Nümerische Mathematik, 55 (1989), pp. 599-618.

A. Arnold, P. Degond, P. A. Markowich, H. Steinrück, The Wigner-Poisson Problem in a Crystal, Applied Mathematical Letters, 2 (1989), pp. 187-191.

1988

B. Niclot, P. Degond, F. Poupaud, Deterministic Particle Simulations of the Boltzmann Transport Equation of Semiconductors, Journal of Computational Physics, 78 (1988), pp. 313-349).

J. Batt, H. Berestycki, P. Degond, B. Perthame, Some families of solutions of the Vlasov- Poisson system, Archive for Rational Mechanics and Analysis, 104 (1988) pp. 79-103.

1987

P. Degond, S. Mas-Gallic, Existence of Solutions and Diffusion Approximation for a Model Fokker-Planck Equation, Transport Theory and Statistical Physics, 16 (1987) pp. 589-636.

1986

P. Degond, Global Existence of Solutions for the Vlasov-Fokker-Planck Equation in 1 and 2 Space Dimensions, Annales Scientifiques de l'ENS 4eme Série, 19 (1986), pp. 519-542.

P. Degond, Local Existence of Solutions of the Vlasov-Maxwell Equations and Convergence to the Vlasov-Poisson Equations for Infinite Light Velocity, Mathematical Methods in the Applied Sciences, 8 (1986) pp.533-558.

P. Degond, Spectral Theory of the Linearized Vlasov-Poisson Equation, Transactions of the American Mathematical Society, 294 (1986) pp. 435-453.

1985

C. Bardos, P. Degond : Global Existence for the Vlasov-Poisson Equation, Annales de l'IHP, Section C, 2 (1985) pp. 101-118.

P. Degond, Existence Locale des Solutions de l'Equation de Vlasov-Maxwell et Approximation par les Solutions de l'Equation de Vlasov-Poisson, C. R. Acad. Sc. Paris, Ser I, 301 (1985) pp. 877-880.

C. Bardos, Ha Tien Ngoan, P. Degond, Existence Globale des Solutions des Equations de Vlasov-Poisson relativistes en Dimension 3, C. R. Acad. Sc. Paris, Ser I, 301 (1985) pp. 265- 268.

P. Degond, Existence Globale des Solutions de l'Equation de Vlasov-Fokker-Planck en Dimension 1 et 2, C. R. Acad. Sc. Paris, Ser I, 301 (1985) pp. 73-76.

1983

C. Bardos, P. Degond, Existence Globale et Comportement Asymptotique de l'Equation de Vlasov-Poisson, C. R. Acad. Sc. Paris, Ser I, 297 (1983) pp. 321-324.

P. Degond, Apparition de Résonances pour l'Equation de Vlasov-Poisson Linéarisée, C. R. Acad Sc. Paris, Ser I, 296 (1983) pp. 969-972.

Edited books

Active Particles Vol 2: Advances in Theory, Models and Applications, N. Bellomo, P. Degond & E. Tadmor (Eds), Birkhauser, 2019.

Active Particles Vol 1: Advances in Theory, Models and Applications, N. Bellomo, P. Degond & E. Tadmor (Eds), Birkhauser, 2017.

Dispersive transport equations and multiscale models, Ben Abdallah N., Arnold A., Degond P., Gamba I.M., Glassey R.T., Levermore C.D., Ringhofer C. (Eds.), The IMA Volumes in Mathematics and Applications, vol 136, Springer, 2004.

Modeling and computational methods for kinetic equations, P. Degond, L. Pareschi, G. Russo (eds), Modeling and Simulation in Science, Engineering and Technology Series, Birkhauser, 2003.

Transport in Transition Regimes, Ben Abdallah N., Arnold A., Degond P., Gamba I.M., Glassey R.T., Levermore C.D., Ringhofer C. (Eds.), The IMA Volumes in Mathematics and Applications, vol 135, Springer, 2003.

Conference proceedings and collective books

To appear

2019

P. Degond, A. Frouvelle, S. Merino-Aceituno, A. Trescases, Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations, in "Stochastic dynamics out of Equilibrium (E. Saada et al, eds)", Springer proceedings in mathematics and statistics, pp. 26-68, 2019. Manuscript on arXiv.

2018

P. Degond, Mathematical models of collective dynamics and self-organization, Proceedings of the International Congress of Mathematicians ICM 2018, Rio de Janeiro, Brazil, Aug 1-9 2018.

R. Bailo, J-A. Carrillo, P. Degond, Pedestrian Models based on Rational Behaviour, in "Crowd Dynamics Volume 1 - Theory, Models, and Safety Problems", N. Bellomo and L. Gibelli Eds., Modeling and Simulation in Science, Engineering and Technology Series, Birkhauser, Boston, 2018, pp. 259-292. Manuscript on arXiv.

2017

P. Degond, D. Peurichard, Modelling tissue self-organization: from micro to macro models, in "Multiscale Models in Mechano and Tumor Biology: Modeling, Homogenization, and Applications", A. Gerisch, R. Penta, J. Lang (Editors), Lecture Notes in Computational Science and Engineering, Springer Verlag, Heidelberg, 2017, pp. 93-108.

2014

P. Degond, S. Motsch, Collective dynamics and self-organization: some challenges and an example. ESAIM: proceedings, 45 (2014), pp. 1-7.

C. Appert-Rolland, J. Cividini, H.J. Hilhorst, P. Degond, Pedestrian flows: from individuals to crowds, Transportation Research Procedia 2 (2014), pp. 468-476.

P. Degond, A. Frouvelle, J.-G. Liu, A note on phase transitions for the Smoluchowski equation with dipolar potential, in ''Hyperbolic Problems: Theory, Numerics, Applications. Proceedings of Hyp2012, Padova June 24–29, 2012'', F. Ancona, A. Bressan, P. Marcati, A. Marson (Eds.), AIMS, 2014, pp. 179-192. Manuscript on arXiv.

C. Appert-Rolland, A. Jelic, P. Degond, J. Fehrenbach, J. Hua, A. Cretual, R. Kulpa, A. Marin, A.-H. Olivier, S. Lemercier, J. Pettre, Experimental Study of the Following Dynamics of Pedestrians, in "Pedestrian and Evacuation Dynamics 2012", U. Weidmann et al. (Eds.), Springer, 2014, pp. 305-315.

C. Appert-Rolland, P. Degond, S. Motsch, A macroscopic model for bidirectional pedestrian flow, in "Pedestrian and Evacuation Dynamics 2012", U. Weidmann et al. (Eds.), Springer, 2014, pp. 575-583.

2013

P. Degond, Asymptotic-Preserving Schemes for Fluid Models of Plasmas, Panoramas et synthèses 39-40 (2013), 1-90.. Manuscript on arXiv

P. Degond, A. Frouvelle, J.-G. Liu,S. Motsch, L. Navoret, Macroscopic models of collective motion and self-organization, Séminaire Laurent Schwartz - EDP et applications (2012-2013), exposé n°1, (27 p.).

2012

O. Chabiron, J. Fehrenbach, P. Degond, M. Moussaıd, J. Pettre, S. Lemercier, Lane detection in pedestrian motion and entropy-based order index, In Proceedings of the 1st International Conference on Pattern Recognition Applications and Methods, pages 192-197, 2012

S. Lemercier, A. Jelic, R. Kulpa, J. Hua, J. Fehrenbach, P. Degond, C. Appert-Rolland, S. Donikian, J. Pettré, Realistic following behaviors for crowd simulation, Computer Graphics Forum, Vol. 31, pp. 489–498, May 2012. Online version

L. Pebernet, X. Ferrieres, V. Mouysset, F. Rogier, P. Degond, A Discontinuous Galerkin Formalism to Solve the Maxwell-Vlasov Equations. Application to High Power Microwave Sources. in "Scientific Computing in Electrical Engineering SCEE 2010", Michielsen B., Poirier JR. (Eds). Mathematics in Industry, vol 16. Springer, Berlin, Heidelberg.Mathematics in Industry 16 (2012), p.183.

2011

S. Lemercier, A. Jelic, J. Hua, J. Fehrenbach, P. Degond, C. Appert-Rolland, S. Donikian, J. Pettré, Un modèle de suivi réaliste pour la simulation de foules, Revue Électronique Francophone d’Informatique Graphique, 5 (2011), pp. 67–76.

S. Brull, P. Degond, F. Deluzet, A. Mouton, Asymptotic-Preserving scheme for a two-fluid Euler-Lorentz model, ESAIM: Proceedings 32 (2011), pp. 18-22.

P. Degond, F. Deluzet, D. Maldarella, J. Narski, C. Negulescu, M. Parisot, Hybrid model for the coupling of an Asymptotic-Preserving scheme with the asymptotic limit model: the one-dimensional case, ESAIM: Proceedings 32 (2011), pp. 13-30.

P. Degond, F. Deluzet, G. Dimarco, G. Gallice, P. Santagati, C. Tessieras, Simulation of non-equilibrium plasma with a numerical noise reduced Particle-In-Cell method, in 27th International Symposium on Rarefied Gas Dynamics 2010, D. A. Levin, I. J. Wysong, A. L. Garcia (eds), AIP conference proceedings, 1333 (2011), pp. 112-1117.

2010

L. Navoret, R. Bon, P. Degond, J. Gautrais, D. Sanchez, G. Theraulaz, Analogies between social interactions models and supply chains, in 'Progress in Industrial Mathematics at ECMI 2008' (A. D. Fitt, J. Norbury, H. Ockendon \& E. Wilson (eds.)), Mathematics in Industry, vol 15, part 2, Springer, 2010, pp. 535--540.,

2009

P. Degond, S. Hirstoaga, M-H. Vignal, The Vlasov model under large magnetic fields in the low-Mach number regime. Unpublished manuscript available on arXiv, 2009.

L. Pebernet, X. Ferrieres, F. Rogier, P. Degond, A hybrid Patch method to solve a 1D Maxwell problem. In proceedings of the 9th International Conference on Mathematical and Numerical Aspects of Waves Propagation, Waves, 2009, pp. 196-197.

2008

L. Pebernet, X. Ferrieres, S. Pernet, B. L. Michielsen, F. Rogier, P. Degond, Discontinuous Galerkin method applied to electromagnetic compatibility problems: introduction of thin wire and thin resistive material models, IET Science Measurement & Technology, 2 (2008), pp. 395-401.

P. Degond, S. Gallego, F. Méhats, C. Ringhofer, Quantum hydrodynamic and diffusion models derived from the entropy principle, in 'Quantum Transport: modelling, analysis and asymptotics - lectures given at the CIME summer school held in Cetraro (Italy), September 11-16, 2006', N. Ben Abdallah & G. Frosali (Eds.), Lectures Notes in Mathematics vol. 1946, Springer, 2008, pp. 111-168.

P. Degond, S. Gallego, F. Méhats, C. Ringhofer, Quantum diffusion models derived from the entropy principle, in 'Progress in industrial mathematics at ECMI 2006' (L L. Bonilla, M. M. Moscoso, G. Platero, J. M. Vega (eds.)), Mathematics in Industry, vol 12, Springer, 2008, pp. 106--122.

2007

P. Degond, S. Gallego, F. Mehats, On a new isothermal quantum Euler model: Derivation, asymptotic analysis and simulation, in ``Proceedings of the 7th International Conference on Computational Science (ICCS 2007), Beijing, China, May 27-30, 2007", Y. Shi, G. D. VanAlbada, J. Dongarra, P. M. A. Sloot, Lecture notes in Computer Sciences, vol. 4487, pp. 939-946, 2007.

K. Aoki, P. Degond, L. Mieussens, M. Nishioka, S. Takata, Numerical simulation of Knudsen pump using the effect of curvature of the channel, Proceedings of the 25th international symposium on rarefied gas dynamics, M. S. Ivanov and A. K. Rebrov (eds), Novosibirsk publishing house of the Siberian branch of the Russian Academy of Sciences, 2007.

C. J. T. Laneryd, K. Aoki, P. Degond, M. Mieussens, Thermal creep of slightly rarefied gas through a channel with curved boundary, Proceedings of the 25th international symposium on rarefied gas dynamics, M. S. Ivanov and A. K. Rebrov (eds), Novosibirsk publishing house of the Siberian branch of the Russian Academy of Sciences, 2007.

P. Degond, Asymptotic continuum models for plasmas and disparate mass gaseous binary mixtures, in 'Material substructures in complex bodies: from atomic level to continuum', G. Capriz, P-M. Mariano (eds), Elsevier, Amsterdam, 2007.

2006

J-C. Matéo-Velez, F. Rogier, F. Thivet, P. Degond, Numerical modeling of plasma-flow interaction, in ``Proceeding of the ICCS 2006: International Conference on Computational Science, Reading (UK), May 28-31, 2006", V. N. Alexandrov, G. D. VanAlbada, P. M. A. Sloot (Eds.), Lecture notes in Computer Sciences, vol. 3992, pp. 1-9, 2006.

2005

J-C. Matéo-Velez, F. Thivet, F. Rogier, G. Quinio, P. Degond, Numerical modelling of corona discharges and their interaction with aerodynamics, Proceedings of the 'European Conference for aerospace sciences (EUCASS), July 4-7th 2005, Moscow.

P. Crispel, P. Degond, M-H. Vignal, J-F. Roussel, E. Amorim, D. Payan, M. Cho, Secondary arc description on satellite solar generators, Proceedings of the "9th spacecraft charging technology conference", 4-8 April 2005, Tsukuba, Japan.

D. Armbruster, P. Degond, C. Ringhofer, Continuum models for interacting machines, in 'Networks of interacting machines: production organization in complex industrial systems and biological cells', D. Armbruster, K. Kaneko and A. Mikhailov (eds), World Scientific, 2005.

C. Besse, P. Degond, F. Deluzet, J. Claudel, G. Gallice, C. Tessieras, Ionospheric plasmas: model derivation, stability analysis and numerical simulations, in 'Numerical Methods for Hyperbolic and Kinetic Problems', S. Cordier, T. Goudon, M. Gutnic, E. Sonnendr\"ucker (eds), IRMA Lectures in Mathematics and Theoretical Physics, Vol. 7, pp. 101-129, 2005.

P. Degond, F. Méhats, C. Ringhofer, Quantum hydrodynamic models derived from the entropy principle, Contemporary Mathematics, 371 (2005), pp. 107-131.

2004

J-C. Matéo-Velez, F. Thivet, P. Degond, Modélisation élémentaire du vent ionique dans une décharge couronne, comptes rendus du congrès annuel de la société française d'électrostatique, juin 2004.

P. Degond, M. Lemou and M. Picasso, Constitutive relations for viscoelastic fluid models derived from kinetic theory, in 'Dispersive transport equations and multiscale models' N. Ben Abdallah et al (eds), The IMA Volumes in Mathematics and Applications, vol 136, Springer, 2004, pp. 77-89.

P. Degond, C. Parzani, M-H. Vignal, On plasma expansion in vacuum, in 'Free Boundary Problems: Theory and Applications', P. Colli, C. Verdi and A. Visintin (eds), International Series of Numerical Mathematics, vol 147, Birkhäuser Verlag, Basel, 2004, pp. 103-112.

2003

N. Ben Abdallah, P. Degond, F. Deluzet, V. Latocha, R. Talaalout, M-H. Vignal, Diffusion limits of kinetic models, in 'Hyperbolic problems: theory, numerics, applications', T. Y. Hou and E. Tadmor (eds), Springer, 2003, pp. 3-17.

P. Degond, Macroscopic limits of the Boltzmann equation: a review in "Modeling and computational methods for kinetic equations", P. Degond, L. Pareschi, G. Russo (Eds.), Modeling and Simulation in Science, Engineering and Technology Series, Birkhauser, 2003, pp. 3-57.

P. Degond, D. Levermore, C. Schmeiser, A note on the energy-transport limit of the semiconductor Boltzmann equation, in 'Transport in Transition Regimes', N. Ben Abdallah et al (Eds), The IMA Volumes in Mathematics and Applications, vol 135, Springer, 2003.

P. Degond, M. Lemou and J. L. Lopez, Fluids with multivalued internal energy, the anistropic case, in 'Transport in Transition Regimes', N. Ben Abdallah et al (eds), The IMA Volumes in Mathematics and Applications, vol 135, Springer, 2003.

2002

C. Tessieras, J. Claudel, P. Degond, G. Gallice, Striations dans l'ionosphère: phénoménologie et simulation numérique, Chocs (revue scientifique et technique de la Direction des Applications Militaires, Commissariat à l'Energie Atomique), 26 (2002), pp. 71-83.

P. Degond Transport of trapped particles in a surface potential, in "Studies in Mathematics and its Applications, Vol. 31", D. Cioranescu et J. L. Lions (Eds.), Elsevier, 2002, pp. 273-296.

2001

P. Degond, M. Lemou, Towards a kinetic model of turbulent incompressible fluid, in 'Hyperbolic problems, theory, numerics, applications', H. Freistuhler and G. Warnecke (eds), International series of Numerical mathematics, Vol 140, Birkhäuser, 2001, pp. 297-306.

2000

P. Degond, R. Talaalout, M. H. Vignal, Electron transport and secondary emission in a surface of a solar cell, Proceedings of 'Multipactor, RF and DC corona and passive intermodulation in space RF hardware', ESTEC, Noordwijk, The Netherlands, Sept 4-6, 2000.

P. Degond, Mathematical modelling of microelectronics semiconductor devices, Proceedings of the Morningside Mathematical Center, Beijing, AMS/IP Studies in Advanced Mathematics, AMS Society and International Press, 2000, pp. 77-109.

1996

N. Ben Abdallah, P. Degond, The Child-Langmuir law in the kinetic theory of charged particles ; Part 3, semiconductor models, in "Mathematical Problems in semiconductor physics", P. Marcati, P. Markowich and R. Natalini (eds), Pitman research notes in Mathematics, Longman, 1996.

1995

P. Degond, Macroscopic models of charged-particle transport derived from kinetic theory, proceedings of the third ICIAM, Hamburg 95.

1994

N. Ben Abdallah, P. Degond, On the Child-Langmuir Law for Semiconductors, in "Semiconductors, part 2", W. M. Coughran Jr., J. Cole, P. Lloyd, J. K. White (Eds.), The IMA volumes in Mathematics and its applications, vol 59, Springer Verlag, New-York, 1994.

P. Degond, The Child-Langmuir Law in the Kinetic Theory of Charged-Particles. Part 1, Electron Flows in vacuum, in "Advances in Kinetic Theory" (B. Perthame, ed), pp. 3-44, World Scientific, Singapore, 1994.

1991

P. Degond, F. Guyot-Delaurens, F. J. Mustieles, F. Nier, Semiconductor Modelling via the Boltzmann Equation, in " Mathematical Aspects of Fluid and Plasma Dynamics", G. Toscani, V. Boffi, S. Rionero (Eds.), Lecture Notes in Mathematics vol 1460, Springer, Berlin, 1991.

1990

P. Degond, F. Guyot-Delaurens, F. J. Mustieles, Semiconductor Modelling via the Boltzmann Equation, in "Computing Methods in Applied Sciences and Engineering", R. Glowinski, A. Lichnewsky (eds), SIAM, Philadelphia, 1990.

P. Degond, F. Poupaud, B. Niclot, F. Guyot, Semiconductor Modelling via the Boltzmann Equation, in "Computational Aspects of VLSI Design with an Emphasis on Semiconductor Device simulation ", R. E. Bank (ed), Lectures in Applied Mathematics, Vol 25, AMS, Providence, (1990).

P. Degond, F. Guyot-Delaurens, F. J. Mustieles, F. Nier, Semiconductor Modelling Via the Boltzmann Equation, In "Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices", Bank R.E., Merten K., Bulirsch R. (Eds.), International Series of Numerical Mathematics, vol 93. Birkhäuser, Basel, 1990.

1989

P. Degond, F. J. Mustieles, B. Niclot, A Quadrature Approximation of the Boltzmann Collision Operator in Axisymmetric Geometry and its Application to Particle Methods, in "nonlinear Hyperbolic Equations - Theory, Computation Methods and Applications", J. Ballmann and R. Jeltsch (Eds), Viewveg, Braunschweig, 1989.

1986

C. Bardos, P. Degond, F. Golse, A Priori Estimates and Existence Results for the Vlasov and Boltzmann Equations, in "Non-linear Systems of Partial Differential Equations in Applied Mathematics", B. Nicolaenko, D. D. Holm, J. M. Hyman (eds) , Lectures in Applied Mathematics, AMS, Providence, Rhode Island, 1986.

P. Degond, Régularité de la Solution des Equations Cinétiques en Physique des Plasmas, Séminaire Equations aux Dérivées Partielles 1985-1986, Ecole Polytechnique, 1986.

Publications (by year)

Preprints

Publications in refereed journals

To appear

Appeared online

2024

2023

2022

2021

2020

2019

2018

2017

2016

2015

2014

2013

2012

2011

2010

2009

2008

2007

2006

2005

2004

2003

2002

2001

2000

1999

1998

1997

1996

1995

1994

1993

1992

1991

1990

1989

1988

1987

1986

1985

1983

Edited books

Popular science articles

Conference proceedings and collective books

To appear

2019

2018

2017

2014

2013

2012

2011

2010

2009

2008

2007

2006

2005

2004

2003

2002

2001

2000

1996

1995

1994

1991

1990

1989

1986