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Publications (by year)

 

 

 

Preprints


P. Degond, A. Blanchet, Topological interactions in a Boltzmann-type framework, submitted. Manuscript on arXiv. 

I. David, P. Kohnke, G. Lagriffoul, O. Praud, F. Plouarboué, P Degond, X. Druart, Wave motion is linked to sperm fertility in sheep, submitted.

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, submitted. 

A. Creppy, F. Plouraboué, O. Praud, X. Druart, S. Cazin, H. Yu, P. Degond, Symmetry-breaking phase-transitions in highly concentrated semen, submitted. 

D. Peurichard, F. Delebecque, A. Lorsignol, C. Barreau, J. Rouquette, X. Descombes, L. Casteilla, P. Degond, Simple mechanical cues could explain adipose tissue morphology, submitted. 

P. Degond, M. Herty, J-G Liu, Meanfield games and model predictive control, submitted. Manuscript on arXiv.

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. Submitted. Manuscript on arXiv


Publications in refereed journals

 

To appear

P. Degond, F. Delebecque, D. Peurichard, Continuum model for linked fibers with alignment interactions, Mathematical Models and Methods in Applied Sciences, to appear.  Manuscript on arXiv.

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, to appear. Manuscript on arxiv


Appeared online


2015

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), 579-608Manuscript on arXiv

E. A. Carlen, M. C. Carvalho, P. Degond, B. Wennberg, A Boltzmann model for rod alignment and schooling fish. Nonlinearity28 (2015) 1783–1803Manuscript on arXiv

P. Degond, G Dimarco, T. B. N. Mac, N. Wang, Macroscopic models of collective motion with repulsion, Communications in Mathematical Sciences13 (2015), pp. 1615 – 1638Manuscript on arXiv

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 Physics17 (2015), pp. 887-907Manuscript on arXiv

P. Degond, A. Frouvelle,  J.-G. Liu, Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics, Archive for Rational Mechanics and Analysis216 (2015), pp 63-115. manuscript on arxiv

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. 495–519Manuscript on arXiv.  


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. Manuscript on arXiv

P. Degond, A. Frouvelle, G. Raoul, Local stability of perfect alignment for a spatially homogeneous kinetic model. Journal of Statistical Physics157 (2014), pp. 84-112Manuscript on arXiv. 

P. Degond, M. Herty, J.-G. Liu, Flow on sweeping networks, Multiscale Modeling and Simulation12 (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 Linéaire31 (2014) pp. 555–565manuscript on arXiv

A. Barbaro, P. Degond, Phase transition and diffusion among socially interacting self-propelled agents, to appear in 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. 93-115manuscript (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 Physics154 (2014), pp. 751-780.. Manuscript on arXiv

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. 277–325manuscript on arXiv.

F. Cordier, P. Degond, A. Kumbaro, Phase appearance or disappearance in two-phase flows, Journal of Scientific Computing58 (2014), pp. 115-148. manuscript on HALmanuscript on arXiv


2013

P. Degond, C. Appert-Rolland, J. Pettre, G. Theraulaz, Vision-based macroscopic pedestrian models, Kinetic and Related Models6 (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. manuscript on HAL ; manuscript on arXiv

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 HALmanuscript 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 Physics152 (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.  manuscript on HAL ; manuscript on arXiv

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. 427-456manuscript on HALmanuscript on arXiv

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. manuscript on arxiv

P. Degond, J. Hua, Self-Organized Hydrodynamics with congestion and path formation in crowds, Journal of Computational Physics, 237 (2013), pp. 299–319manuscript 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 HAL. ; 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. 2414-2437http://arxiv.org/abs/1011.3456

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).  manuscript on HAL ; manuscript on arXiv

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. http://arxiv.org/abs/1102.0904
 
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. and http://arxiv.org/abs/1008.3405

S. Brull, P. Degond, F. Deluzet, Degenerate anisotropic elliptic problems and magnetized plasma simulations, Communications in Computational Physics (CICP), 11 (2012), pp. 147-178  and http://arxiv.org/abs/1010.5968 

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 HALmanuscript 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. http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=6726 and manuscript on HAL ; 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. http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=6730 and manuscript on HAL, 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. http://www.sciencedirect.com/science/article/pii/S0021999111004153 and http://arxiv.org/abs/1008.4045

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. http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=6434 and manuscript on HAL, 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. http://dx.doi.org/10.1007/s10955-011-0201-3 and http://arxiv.org/PS_cache/arxiv/pdf/1010/1010.5405v1.pdf

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. http://www.global-sci.com/issue/abstract/readabs.php?vol=10&page=1&issue=1&ppage=31&year=2011 and http://arxiv.org/PS_cache/arxiv/pdf/0908/0908.1929v1.pdf

P. Degond, G. Dimarco, L. Pareschi, The Moment Guided Monte Carlo Method, International Journal for Numerical Methods in Fluids, 67 (2011), pp. 189-213. http://onlinelibrary.wiley.com/doi/10.1002/fld.2345/abstract and http://arxiv.org/pdf/0908.0261

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. http://www.aimsciences.org/journals/displayArticles.jsp?paperID=5855 and http://arxiv.org/PS_cache/arxiv/pdf/1010/1010.5406v1.pdf

 

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. 1459-1490. http://www.worldscinet.com/m3as/20/20supp01/S0218202510004659.html and http://arxiv.org/abs/1002.2716
 
P. Degond, G. Dimarco, L. Mieussens, A Multiscale Kinetic-Fluid Solver with Dynamic Localization of Kinetic Effects, J. Comput. Phys., 229 (2010), pp. 4907–4933, http://dx.doi.org/10.1016/j.jcp.2010.03.009 and http://arxiv.org/pdf/0908.0206
 
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, J. Comput. Phys., 229 (2010), pp. 5630–5652, http://dx.doi.org/10.1016/j.jcp.2010.04.001 and http://hal.archives-ouvertes.fr/hal-00359356/fr/
 
P. Degond, L. Navoret, R. Bon, D. Sanchez, Congestion in a macroscopic model of self-driven particles modeling gregariousness, J. Stat. Phys., 138 (2010), pp. 85-125. DOI: 10.1007/s10955-009-9879-x  and  http://arxiv.org/PS_cache/arxiv/pdf/0908/0908.1817v1.pdf
 
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, http://dx.doi.org/10.1016/j.jnnfm.2010.02.007 and http://arxiv.org/abs/1001.2406
 
P. Degond, F. Deluzet, C. Negulescu, An Asymptotic-Preserving scheme for strongly anisotropic problems, Multiscale Model. Simul., 8 (2010), pp. 645-666. http://dx.doi.org/10.1137/090754200 and  http://fr.arxiv.org/abs/0903.4984
 
 

2009

P. Degond, H. Liu, Kinetic models for polymers with inertial effects, Networks and Heterogeneous Media, 4 (2009), pp. 625-647. http://dx.doi.org/10.3934/nhm.2009.4.625  and  http://arxiv.org/abs/0901.1909 .
 
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. DOI: 10.1007/s10915-009-9302-4 and  http://hal.archives-ouvertes.fr/docs/00/18/93/83/PDF/paperquasiN.pdf
 
P. Degond, F. Deluzet, A. Sangam, M-H. Vignal,  An asymptotic preserving scheme for the Euler equations in a strong magnetic field,  J. Comput. Phys., 228 (2009), pp. 3540-3558.  http://dx.doi.org/10.1016/j.jcp.2008.12.040 and http://arxiv.org/abs/0809.1527 .
 
I. Choquet, P. Degond, B. Lucquin-Desreux,  A strong ionization model in plasma physics, Mathematical and Computer Modelling, 49 (2009), pp. 88-113. http://dx.doi.org/10.1016/j.mcm.2007.06.035
 
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. http://www.global-sci.com/issue/abstract/readabs.php?vol=6&page=919&issue=5&ppage=954&year=2009
 


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. doi:  10.3934/krm.2008.1.557 

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 J. Sci. Comput.,  30 (2008), pp. 2466-2487. 10.1137/070700711

P. Degond, M. Delitala,  Modelling and simulation of vehicular traffic jam formation, Kinetic and Related Models  1 (2008), pp. 279-293. http://www.aimsciences.org/journals/doIPChk.jsp?paperID=3291&mode=full

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. http://dx.doi.org/10.1142/S0218202508003030

P. Degond, S. Motsch,  Large scale dynamics of the Persistent Turning Walker model of fish behavior, J. Stat. Phys.,  131 (2008), pp. 989-1021. http://dx.doi.org/10.1007/s10955-008-9529-8,manuscript on arxiv

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, J. Phys. D: Appl. Phys.  41 (2008) 035205 (11p.). http://dx.doi.org/10.1088/0022-3727/41/3/035205

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. http://dx.doi.org/10.1137/070690584

K. Aoki, P. Degond, L. Mieussens, S. Takata, H. Yosida,  A diffusion model for rarefied flows in curved channels, SIAM Multiscale Model. Simul.  6 (2008), pp. 1281-1316. http://dx.doi.org/10.1137/070690328

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. http://dx.doi.org/10.1142/S0218202508003005manuscript on arxiv

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. http://dx.doi.org/10.1007/s00205-007-0061-9


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. http://www.math.sinica.edu.tw/bulletin_ns/20074/2007403.pdf

P. Degond, S. Gallego, F. Méhats,  On quantum hydrodynamic and quantum energy-transport models, Commun. Math. Sci.  5 (2007), pp. 887-908. http://www.intlpress.com/CMS/p/2007/issue5-4/CMS-5-4-A8-Degond.pdf

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. http://dx.doi.org/10.1142/S0218202507002224

P. Degond, G. Dimarco, L. Mieussens,  A moving interface method for dynamic kinetic-fluid coupling, J. Comput. Phys.  227 (2007), pp. 1176-1208. http://dx.doi.org/10.1016/j.jcp.2007.08.027

K. Aoki, P. Degond, S. Takata, H. Yosida,  Diffusion models for Knudsen compressors, Phys. Fluids.  19 (2007), 117103 (20 pages). http://link.aip.org/link/?PHFLE6/19/117103/1

P. Degond, B. Lucquin-Desreux,  Mathematical models of electrical discharges in air at atmospheric pressure: a derivation from asymptotic analysis, Int. J. Computing Science and Mathematics,  1 (2007), pp. 58-97. http://dx.doi.org/10.1504/IJCSM.2007.013764 
 
J-P. Bourgade, P. Degond, N. Mauser, C. Ringhofer,  Quantum corrections to semiclassical transport in nanoscale devices using entropy principles, J. Comput. Electron.  6 (2007), pp. 117-120. http://dx.doi.org/10.1007/s10825-006-0062-1
 
P. Degond, S. Gallego, F. Méhats,  Simulation of a resonant tunneling diode using an entropic quantum drift-difusion model, J. Comput. Electron.  6 (2007), pp. 133-136. http://dx.doi.org/10.1007/s10825-006-0088-4

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. http://www.aimsciences.org/journals/pdfs.jsp?paperID=2747&mode=full

 P. Degond, C. Ringhofer,  Stochastic dynamics of long supply chains with random breakdowns, SIAM J. Appl. Math.  68 (2007), pp. 59-79. http://dx.doi.org/10.1137/060674302

P. Degond, S. Gallego, F. Méhats,  Isothermal quantum hydrodynamics: derivation, asymptotic analysis and simulation, SIAM J. Multiscale Modeling and Simulation,  6 (2007), pp. 246-272. http://dx.doi.org/10.1137/06067153X

P. Degond, S. Göttlich, M. Herty, A. Klar,  A network model for supply chains with multiple policies, SIAM J. Multiscale Modeling and Simulation,  6 (2007), pp. 820-837.  http://dx.doi.org/10.1137/060670316

 P. Degond, B. Wennberg,  Mass and energy balance laws derived from high-field limits of thermostatted Boltzmann equations, Commun. Math. Sci.,  5 (2007), pp. 355-382. http://www.intlpress.com/CMS/p/2007/issue5-2/CMS-5-2-355-382.pdf

F. Castella, P. Degond, T. Goudon,  Asymptotic problems for wave-particle interactions: quantum and classical models, Nonlinearity  20 (2007), pp. 1677-1720. http://dx.doi.org/10.1088/0951-7715/20/7/008

F. Castella, P. Degond, T. Goudon,  Large time dynamics of a classical system subject to a fast varying force, Commun. Math. Phys.  276 (2007), pp. 23-49. http://dx.doi.org/10.1007/s00220-007-0339-7

P. Crispel, P. Degond, M-H. Vignal,  An asymptotic preserving scheme for the two-fluid Euler-Poisson model in the quasineutral limit, J. Comp. Phys.,  223 (2007), pp. 208-234. http://dx.doi.org/10.1016/j.jcp.2006.09.004

P. Degond, S. Gallego, F. Méhats,  An entropic quantum drift-diffusion model for electron transport in resonant tunneling diodes, J. Comp. Phys.,  221 (2007), pp. 226-249. http://dx.doi.org/10.1016/j.jcp.2006.06.027

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. http://dx.doi.org/10.1016/j.cpc.2006.07.022

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. http://www.math.sinica.edu.tw/bulletin_ns/20072/2007215.pdf

C. Besse, P. Degond, H-J. Hwang, R. Poncet,  Nonlinear instability of the two-dimensional striation model about smooth steady states, Comm. PDE.,  32 (2007), pp.  1017-1041. http://dx.doi.org/10.1080/03605300701454750

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. http://dx.doi.org/10.1016/j.crma.2007.10.014

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. http://dx.doi.org/10.1016/j.crma.2007.10.024


2006

V. Bagland, P. Degond, M. Lemou,  Moment systems derived from relativistic kinetic equations, J. Stat. Phys.,  125 (2006), pp. 617-655. http://dx.doi.org/10.1007/s10955-006-9173-0
 
P. Degond, J-G. Liu, L. Mieussens,  Macroscopic fluid models with localized kinetic upscaling effects, SIAM J. Multiscale Modeling and Simulation,  5 (2006), pp. 940-979. http://dx.doi.org/10.1137/060651574

 P. Degond, C. Parzani, M-H. Vignal,  A Boltzmann model for trapped particles in a surface potential, SIAM J. Multiscale Modeling and Simulation,  5 (2006), pp. 364-392. http://dx.doi.org/10.1137/050642897

F. Castella, P. Degond, T. Goudon,  Diffusion dynamics of classical systems driven by an oscillatory force, J. Stat. Phys.,  124 (2006), pp. 913-950. http://dx.doi.org/10.1007/s10955-006-9071-5

J-P. Bourgade, P. Degond, F. Méhats, C. Ringhofer,  On quantum extensions to classical Spherical Harmonics Expansion / Fokker-Planck models, J. Math. Phys.,  47 (2006), 043302 (26 pages). http://link.aip.org/link/?JMAPAQ/47/043302/1

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. http://dx.doi.org/10.1137/040604625

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. http://dx.doi.org/10.1016/j.crma.2006.09.033


2005

P. Degond, S. Jin, L. Mieussens,  A smooth transition model between kinetic and hydrodynamic equations, J. Comput. Phys.,  209 (2005), pp. 665-694 .  http://dx.doi.org/10.1016/j.jcp.2005.03.025

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. http://dx.doi.org/10.1088/0022-3727/38/9/008

P. Crispel, P. Degond, M-H. Vignal,  Quasi-neutral fluid models for current-carrying plasmas, J. Comput. Phys.,  205 (2005), pp. 408-438. http://dx.doi.org/10.1016/j.jcp.2004.11.011

C. Besse, J. Claudel, P. Degond, F. Deluzet, G. Gallice, C. Tessieras,  Instability of the ionospheric plasma: modeling and analysis, SIAM Appl. Math.  65 (2005), pp. 2178-2198. http://dx.doi.org/10.1137/040606582

P. Degond, F. Méhats, C. Ringhofer,  Quantum energy-transport and drift-diffusion models, J. Stat. Phys.  118 (2005), pp. 625-667. 

N. Crouseilles, P. Degond, M. Lemou,  A hybrid kinetic-fluid model for solving the Vlasov-BGK equation, J. Comput. Phys.,  203 (2005), pp. 572-601. http://dx.doi.org/10.1016/j.jcp.2004.09.006

M. Baro, N. Ben Abdallah, P. Degond, A. El Ayyadi,  A 1D coupled Schr\"odinger drift-diffusion model including collisions, J. Comput. Phys.,  203 (2005), pp. 129-153.  http://dx.doi.org/10.1016/j.jcp.2004.08.009

P. Degond, S. Jin,  A smooth transition model between kinetic and diffusion equations, SIAM Numerical Analysis  42 (2005), pp. 2671-2687. http://dx.doi.org/10.1137/S0036142903430414

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. http://dx.doi.org/10.1016/j.crma.2005.07.008


2004

N. Crouseilles, P. Degond, M. Lemou,  A hybrid kinetic-fluid model for solving the gas dynamics Boltzmann-BGK equation, J. Comput. Phys.,  199 (2004), pp. 776-806. http://dx.doi.org/10.1016/j.jcp.2004.03.007

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: M2AN  38 (2004), pp. 321-344. http://dx.doi.org/10.1051/m2an:2004015

B. Bidégaray-Fesquet, F. Castella, P. Degond,  From Bloch model to the rate equations, Discrete and Continuous Dynamics Systems  11 (2004), pp. 1-26. http://www.aimsciences.org/journals/pdfs.jsp?paperID=567&mode=full

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. http://dx.doi.org/10.1142/S0218202504003283

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. http://dx.doi.org/10.1016/j.crma.2003.11.029


2003

P. Degond, C. Parzani, M-H. Vignal,  Plasma expansion in vacuum: modeling the breakdown of quasineutrality, SIAM Multiscale Modeling and Simulation  2 (2003) pp. 158-178. http://dx.doi.org/10.1137/030600333

P. Degond, C. Parzani, M-H. Vignal,  A one-dimensional model of plasma expansion, Mathematical and Computer Modelling,  38 (2003), pp. 1093-1099. http://dx.doi.org/10.1016/S0895-7177(03)90109-9

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. http://dx.doi.org/10.1016/S0997-7546(03)00060-8

P. Degond, K. Zhang,  A scattering matrix model of semiconductor superlattices in multidimensional wave-vector space and its diffusion limit, Chin. Ann. Math.  24B (2003), pp. 167-190. http://dx.doi.org/10.1142/S0252959903000165

 K. Aoki, P. Degond,  Homogenization of a flow in a periodic channel of small section, SIAM Multiscale Modeling and Simulation  1 (2003), pp. 304-334. http://dx.doi.org/10.1137/S1540345902409931

I. Choquet, P. Degond, C. Schmeiser,  Hydrodynamic models for charge carriers, Comm. Math. Sci.  1 (2003), pp. 74-86. http://www.intlpress.com/CMS/journal/v1i1/choquet.pdf

I. Choquet, P. Degond, C. Schmeiser,  Energy-Transport models for charge carriers involving impact ionization in semiconductors, Transp. Theory Stat. Phys.  32 (2003), pp. 99-132. http://dx.doi.org/10.1081/TT-120019039
 
P. Degond, C. Ringhofer,  Quantum moment hydrodynamics and the entropy principle, J. Stat. Phys.  112 (2003), pp. 587-628. http://dx.doi.org/10.1023/A:1023824008525

N. Ben Abdallah, P. Degond, A. Mellet and F. Poupaud,  Electron transport in semiconductor superlattices, Quarterly Appl. Math.  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. http://dx.doi.org/10.1016/S1631-073X(03)00185-7

24 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. http://dx.doi.org/10.1016/S1631-073X(03)00033-5


2002

P. Degond, A. El Ayyadi,  A coupled Schrödinger Drift-Diffusion model for quantum semiconductor device simulations, J. Comput. Phys.  181 (2002), pp. 222-259. http://dx.doi.org/10.1006/jcph.2002.7122

P. Degond, M. Lemou,  Turbulence models for incompressible fluids derived from kinetic theory, J. Math. Fluid Mech.  4 (2002), pp. 257-284. http://dx.doi.org/10.1007/s00021-002-8545-8

P. Degond, K. Zhang,  Diffusion approximation of a scattering matrix model of a semiconductor superlattice,  SIAM J. Appl. Math.  63 (2002), pp. 279-298. http://dx.doi.org/10.1137/S0036139999360015

P. Degond, M. Lemou, M. Picasso,  Viscoelastic fluid models derived from kinetic equations for polymers, SIAM J. Appl. Math.  62 (2002), pp. 1501-1519. http://dx.doi.org/10.1137/S0036139900374404

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. http://www.intlpress.com/MAA/p/2002/09_1/MAA-09-1-127-150.pdf

M-J. Càceres, J-A. Carrillo, P. Degond,  The Child-Langmuir limit for semiconductors: a numerical validation, M2AN  36 (2002), pp. 1161-1176. http://dx.doi.org/10.1051/m2an:2003011

N. Ben Abdallah, P. Degond and I. Gamba,  Coupling one-dimensional time-dependent classical and quantum transport models, J. Math. Phys.  43 (2002), pp. 1-24. http://link.aip.org/link/?JMAPAQ/43/1/1

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 sci. Technol.  11 (2002), pp. 104-114. http://dx.doi.org/10.1088/0963-0252/11/1/313

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. http://dx.doi.org/10.1016/S1631-073X(02)02595-5 

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. http://dx.doi.org/10.1016/S1631-073X(02)02479-2

P. Degond, A. Klar,  A relaxation approximation for transport equations in the diffusive limit, Appl. Math. Lett.  15 (2002), pp. 131-135. http://dx.doi.org/10.1016/S0893-9659(01)00106-9


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. http://dx.doi.org/10.1007/PL00001583

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.  http://dx.doi.org/10.1142/S0218202501001173

P. Degond, M. Lemou,  On the viscosity and thermal conduction of fluids with multivalued internal energy,  European J. Mech. B/fluids  20 (2001), pp. 303-327. http://dx.doi.org/10.1016/S0997-7546(00)01095-5

P. Degond, S. Mancini,  Diffusion driven by collisions with the boundary, Asymptotic Analysis  27 (2001), pp. 47-73.
 
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. http://dx.doi.org/10.1007/PL00001544
 

2000

P. Degond, T. Goudon et F. Poupaud,  Diffusion limit for non homogeneous and non micro-reversible processes, Indiana University Math. J.  49 (2000), pp. 1175-1198. http://dx.doi.org/10.1512/iumj.2000.49.1936
 
P. Degond, A. Jüngel, P. Pietra,  Numerical discretization of energy-transport models for semiconductors with non-parabolic band structure, SIAM on Scientific Computing  22 (2000), pp. 986-1007. http://dx.doi.org/10.1137/S1064827599360972
 
P. Degond, A. Nouri, C. Schmeiser,  Macroscopic models for ionization in the presence of strong electric fields,  Transp. Theory and Stat. Phys.,  29 (2000), pp. 551-561. http://dx.doi.org/10.1080/00411450008205891

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. http://dx.doi.org/10.1016/S0764-4442(00)01759-6


1999

P. Degond, J. L. Lopèz, F. Poupaud, C. Schmeiser,  Existence of solutions of a kinetic equation modeling cometary flows, J. Stat. Phys.  96 (1999), pp. 361-376. http://dx.doi.org/10.1023/A:1004584719071
 
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, Transp. Theory and Stat. Phys.  28 (1999), pp. 31-55. http://dx.doi.org/10.1080/00411459908214514

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. http://dx.doi.org/10.1016/S0764-4442(00)88599-7

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. http://dx.doi.org/10.1016/S0764-4442(99)80194-3


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, J.  Math. Phys  39 (1998), pp. 1-30.
 
P. Degond, V. Latocha, L. Guarrigues, J. P. Boeuf,  Electron Transport in Stationary Plasma  Thrusters, Transp. Theory and Stat. Phys  27 (1998), pp. 203-221. http://dx.doi.org/10.1080/00411459808205621
 
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. http://dx.doi.org/10.1007/s001610050087

P. Degond,  A model of near-wall conductivity and its application to plasma thrusters, SIAM J. Applied Math  58 (1998), pp. 1138-1162. http://dx.doi.org/10.1137/S0036139996300897

P. Degond, S. Génieys,  A. Jüngel,  A steady-state system in non-equilibrium thermodynamics  including thermal and electrical effects, Math. Methods in the Applied Sciences  21 (1998), pp. 1399-1413. http://www3.interscience.wiley.com/journal/10007607/abstract

C. Buet, S. Cordier, P. Degond,  Regularized Boltzmann operators, Computer and Mathematics  with applications   35 (1998), pp. 55-74. http://dx.doi.org/10.1016/S0898-1221(97)00258-7

 N. Ben Abdallah, P. Degond,  P. Markowich,  The quantum Child-Langmuir problem,  Nonlinear Analysis, Theory, Methods and Applications   31 (1998), pp. 629-648. http://dx.doi.org/10.1016/S0362-546X(97)00429-X


1997

P. Degond, Y. Qiu,  The Child-Langmuir asymptotics for semiconductors including phonon  interaction, COMPEL (Computer Electronics) 16 (1997), pp. 157-175. http://dx.doi.org/10.1108/03321649710182896

P. Degond, S. Génieys et 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. http://dx.doi.org/10.1016/S0021-7824(97)89980-1

F. Assous, P. Degond, J. Segré,  A new scheme to treat the numerical Tcherenkov instability  for electromagnetic simulations, J. Comput. Phys.  138 (1997), pp. 171-192.  http://dx.doi.org/10.1006/jcph.1997.5818

C. Buet, S. Cordier, P. Degond, M. Lemou,  Fast algorithms for numerical conservative and  entropy approximations of the Fokker-Planck-Landau equation, J. Comput. Phys.  133 (1997), pp.  310-322. http://dx.doi.org/10.1006/jcph.1997.5669

P. Degond, M. Lemou,  Dispersion relations of the linearized Fokker-Planck equation, Archives  of Rational Mechanics and Analysis 138 (1997), pp. 137-167. http://dx.doi.org/10.1007/s002050050038
N. Ben Abdallah, P. Degond, P. Markowich,  On a one-dimensional Schrödinger-Poisson  scattering model, Zeitschrifts f\"{ur Angewandte Mathematik und Physik  48 (1997), pp. 135-155. http://dx.doi.org/10.1007/PL00001463

P. Degond, S. Génieys et A. Jüngel,  Symmetrization and entropy inequality for general diffusion  equations, C. R. Acad. Sci. Paris, Ser I,    325 (1997), pp. 963-968. http://dx.doi.org/10.1016/S0764-4442(97)89087-8

P. Degond, S. Génieys et 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.  http://dx.doi.org/10.1016/S0764-4442(97)84605-8

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. http://dx.doi.org/10.1016/S0764-4442(97)86960-1


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. http://afst.cedram.org/afst-bin/fitem?id=AFST_1996_6_5_4_599_0

F. Assous, P. Degond, J. Segré,  Numerical approximation of the Maxwell equations in  inhomogeneous media by a P1 conforming finite element method, J. Comput. Phys.  128 (1996),  pp. 363-380. http://dx.doi.org/10.1006/jcph.1996.0217

P. Degond, B. Lucquin-Desreux,  Transport coefficients of plasmas and disparate mass binary  gases, Transp. Theory and Stat. Phys.  25 (1996), pp. 595-633. http://dx.doi.org/10.1080/00411459608222915
 
N. Ben Abdallah, P. Degond,  On a hierarchy of macroscopic models for semiconductors, J. Math. Phys.  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. http://dx.doi.org/10.1016/0038-1101(95)00149-2

N. Ben Abdallah, P. Degond, S. Génieys,  An energy-transport model for semiconductors  derived from the Boltzmann equation, J. Stat. Phys.  84 (1996), pp. 205-231. http://dx.doi.org/10.1007/BF02179583 

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. http://dx.doi.org/10.1142/S0218202596000158

 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, Math. Methods in the Appl.  Sciences  19 (1996), pp. 313-340. http://www3.interscience.wiley.com/journal/17591/abstract
  
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, Math. Methods in the Appl. Sciences  19 (1996), pp. 287-312.

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 J. on Mathematical Analysis.  26 (1995), pp. 364-398. http://dx.doi.org/10.1137/S0036141093246567

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, pp. 1193-1212  (1994). http://dx.doi.org/10.1002/mma.1670171503
  
 P. Degond, B. Lucquin-Desreux,  An Entropy Scheme for the Fokker-Planck collision Operator  of Plasma Kinetic Theory, Numer. Mathematik.  68 (1994), pp. 239-262. http://dx.doi.org/10.1007/s002110050059

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, J. Comput. Phys.  109 (1993), pp. 222-237. http://dx.doi.org/10.1006/jcph.1993.1214

P. Degond, P. A. Markowich,  A Steady-State Potential  Flow Model for Semiconductors,   Annali di  Matematica Pura ed Applicata. 165 (1993), pp. 87-98. http://dx.doi.org/10.1007/BF01765842 

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. http://dx.doi.org/10.1142/S0218202593000278


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. http://dx.doi.org/10.1016/0010-4655(92)90142-L

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. http://dx.doi.org/10.1142/S0218202592000119

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  A304 (1991), pp. 297-299. http://dx.doi.org/10.1016/0168-9002(91)90871-M

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. http://dx.doi.org/10.1007/BF01764126

P. Degond, F. Hermeline, P. A. Raviart, J. Segré,  Numerical Modelling of Axisymmetric  Electron Beam Devices Using a Coupled Particle-Finite Element Method, IEEE Trans. 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 Electron.  34 (1991), pp. 1335-1345. http://dx.doi.org/10.1016/0038-1101(91)90027-V

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 (Computation in Electrical and  Electronic Engineering)   9 (1990), pp. 109-116. http://dx.doi.org/10.1108/eb010068

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, J. Comput. Phys.  90 (1990), pp. 65-97. http://dx.doi.org/10.1016/0021-9991(90)90197-9

P. Degond, F. J. Mustieles,  A Deterministic Approximation of Diffusion Equations using  Particles, SIAM J. on Scientific and Statistical Computing  11 (1990), pp. 293-310. http://dx.doi.org/10.1137/0911018

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, Appl. Math. Lett.  3 (1990), pp. 25-29. http://dx.doi.org/10.1016/0893-9659(90)90130-4


1989

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

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

P. Degond, B. Niclot,  Numerical Analysis of the Weighted Particle Method Applied to the  Semiconductor Boltzmann Equation, Numer. Math.  55 (1989), pp. 599-618. http://dx.doi.org/10.1007/BF01398918

A. Arnold, P. Degond, P. A. Markowich, H. Steinrück,   The Wigner-Poisson Problem in a  Crystal, Appl. Math. Lett.  2 (1989), pp. 187-191. http://dx.doi.org/10.1016/0893-9659(89)90019-0


1988

B. Niclot, P. Degond, F. Poupaud,  Deterministic Particle Simulations of the Boltzmann  Transport Equation of Semiconductors, J. Comput. Phys.  78 (1988), pp. 313-349). http://dx.doi.org/10.1016/0021-9991(88)90053-8

J. Batt, H. Berestycki, P. Degond, B. Perthame,  Some families of solutions of the Vlasov- Poisson system,  Arch. Rational Mech. Anal.  104  (1988) pp. 79-103. http://dx.doi.org/10.1007/BF00256933


1987

P. Degond, S. Mas-Gallic,   Existence of Solutions and Diffusion Approximation for a Model  Fokker-Planck Equation, Transp. Theory Stat. Phys.  16 (1987) pp. 589-636. http://dx.doi.org/10.1080/00411458708204307 


1986

P. Degond,  Global Existence of Solutions for the Vlasov-Fokker-Planck Equation in 1 and 2  Space Dimensions, An. Scient. Ec. Norm. Sup.  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, Math. Meth. in the Appl. Sci.,  8  (1986) pp.533-558.

P. Degond,  Spectral Theory of the Linearized Vlasov-Poisson Equation, Trans. AMS   294  (1986) pp. 435-453.


1985

C. Bardos, P. Degond :  Global Existence for the Vlasov-Poisson Equation, Ann. Inst. Henri  Poincaré, Analyse Non Linéaire   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

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.

 

Vulgarisation articles

 
P. Degond, Mouvements collectifs et auto-organization, Gazette des Mathématiciens141 (2014), pp. 23-34.  

P. Degond, Mouvements collectifs et auto-organization, Images des Maths, 22 Juillet 2014

Interview in the special issue 'Rien n'arrête les mathématiques', Journal du CNRS, 245, june 2010 (c.f. article 'La physique accro aux maths', pp. 23-24).
 
P. Degond, G. Theraulaz, Les mathématiques de la complexité, Paul Sabatier, Magazine scientifique, 17 (2009), p. 7.
 
P. Degond, V. Genot,  Mettre en équations la valse des particules autour de la Terre, Paul Sabatier, Magazine scientifique,  6 (2006), p. 7.
 
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  Des électrons aux satellites,  la Recherche,  341, april 2001, p. 64.

N. Ben Abdallah, P. Degond,  De l'infiniment petit à l'infiniment grand, CNRS info, mai 2000, pp. 23-24.

P. Degond,  B. Perthame,  Modèles Cinétiques et Equation de Boltzmann, Images des Mathématiques, Le Courrier du CNRS, supplément au vol  76 (1990), pp. 44-49

 

Conference proceedings


Preprints


To appear


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. Cividin, 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


2013

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


2012

O. Chabiron, J. Fehrenbach, P. Degond, M. Moussaıd, J. Pettre, S. Lemercier, Lane detection in pedestrian motion and entropy-based order index, First International Conference on Pattern Recognition Applications and Methods, accepted. 

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


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, http://dx.doi.org/10.1007/978-3-642-12110-4_84


2009

P. Degond, S. Hirstoaga, M-H. Vignal, The Vlasov model under large magnetic fields in the low-Mach number regime. http://fr.arxiv.org/abs/0905.2400 and http://hal.archives-ouvertes.fr/hal-00384345/fr/



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 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.   http://dx.doi.org/10.1007/978-3-540-71992-2_6
 
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. http://dx.doi.org/10.1007/978-3-540-79574-2_3


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. http://dx.doi.org/10.1016/B978-008044535-9/50002-9
 
P. Degond, S. Gallego, F. Méhats, On a New Isothermal Quantum Euler Model: Derivation, Asymptotic Analysis and Simulation, Lecture notes in Computer Sciences, Berlin, Heidelberg, 2007, pp. 939-946. http://dx.doi.org/10.1007/978-3-540-72584-8_123
 

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, Lecture notes in Computer Sciences, vol. 3992, pp. 1-9, 2006.  http://dx.doi.org/10.1007/11758525_1


2005

J-C. Matéo-Velez, F. Thivet, F. Rogier, G. Quinio, P. Degond,  Numerical modelling of corona discharges and their interaction with aerodynamics, proceedings de la conference '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 de la 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. http://dx.doi.org/10.1016/S0168-2024(02)80014-5


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, comptes rendus de la conférence '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 vol1460, Springer, Berlin, 1991. http://dx.doi.org/10.1007/BFb0091363


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).


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,  Comptes Rendus du "Séminaire Equations aux Dérivées Partielles 1985-1986", Ecole Polytechnique,  1986.

 

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