Preprints
Existence result for a 2x2 system of conservation laws with discontinuous flux and applications
F.A. Chiarello, S. Fagioli, M.D. Rosini
Preprint: arXiv, ResearchGate, HAL
Minimization of hyperbolic systems of conservation laws
M.D. Rosini, A. Corli, M. Jr. Miranda, V. Buffa
Preprint: HAL
Numerical simulations for the ARZ model for vehicular traffic with general point constraints on the density flux
C. Donadello, B. Polizzi, U. Razafison, J.Y. Rolland, M.D. Rosini
Preprint: HAL
On stability of one-dimensional Hughes’ dynamics with affine costs
B. Andreianov, S. Fagioli, M.D. Rosini, G. Stivaletta
Preprint: HAL
Working Papers
Existence results for 1D Hughes model with linear costs
M.D. Rosini, G. Stivaletta
Preprint: HAL
Published Articles
Coherence of coupling conditions for the isothermal Euler system
A. Corli, U. Razafison, M.D. Rosini
Mathematical Methods in the Applied Sciences 48 (2025), 11565–11591
Preprint: HAL
On existence, stability and many-particle approximation of solutions of 1D Hughes model with linear costs
B. Andreianov, M.D. Rosini, G. Stivaletta
J. Differential Equations, 369 (2023), 253–298
DOI: 10.1016/j.jde.2023.06.004
Coherence and flow-maximization of a one-way valve
A. Corli, U. Razafison, M.D. Rosini
ESAIM: Mathematical Modelling and Numerical Analysis 56 (2022) 1715-1739
Entropy solutions for a two-phase transition model for vehicular traffic with metastable phase and time depending point constraint on the density flow
B. Andreianov, C. Donadello, M.D. Rosini
Nonlinear Differential Equations and Applications 28 (2021)
DOI: 10.1007/s00030-021-00689-5
Preprint: HAL
Lack of BV bounds for approximate solutions to a two-phase transition model arising from vehicular traffic
M. Benyahia, M.D. Rosini
Mathematical Methods in the Applied Sciences 43 (2020) 10381-10390
Preprint: HAL
Systems of conservation laws with discontinuous fluxes and applications to traffic
M.D. Rosini
Annales UMCS Sectio A 73 (2019) 135-173
DOI: 10.17951/a.2019.73.2.135-173
Preprint: HAL
Coherence of coupling Riemann solvers for gas flows through flux-maximizing valves
A. Corli, M.D. Rosini
SIAM Journal on Applied Mathematics 79 (2019) 2593–2614
Preprint: HAL
Coherence and Chattering of a One-Way Valve
A. Corli, M.D. Rosini
Zeitschrift für Angewandte Mathematik und Mechanik 99 (2019) e201800250
Preprint: HAL
Representation of capacity drop at a road merge via point constraints in a first order traffic model
C. Donadello, E. Dal Santo, S. Pellegrino, M.D. Rosini
ESAIM: Mathematical Modelling and Numerical Analysis 53 (2019) 1-34
Preprint: HAL
An existence result for a constrained two-phase transition model with metastable phase for vehicular traffic
M. Benyahia, C. Donadello, N. Dymski, M.D. Rosini
Nonlinear Differential Equations and Applications 25 (2018) 25-48
DOI: 10.1007/s00030-018-0539-1
Existence of BV solutions for a non-conservative constrained Aw-Rascle-Zhang model for vehicular traffic
N. Dymski, P. Goatin, M.D. Rosini
Journal of Mathematical Analysis and Applications 467 (2018) 45-66
DOI: 10.1016/j.jmaa.2018.07.025
Preprint: HAL
Analysis and approximation of one-dimensional scalar conservation laws with general point constraints on the flux
B. Andreianov, C. Donadello, U. Razafison, M.D. Rosini
Journal de Mathématiques Pures et Appliquées 116 (2018) 309-346
DOI: 10.1016/j.matpur.2018.01.005
Preprint: HAL
Coupling conditions for isothermal gas flow and applications to valves
A. Corli, M. Figiel, A. Futa, M.D. Rosini
Nonlinear Analysis Series B: Real World Applications 40 (2018) 403–427
DOI: 10.1016/j.nonrwa.2017.09.005
Deterministic particle approximation of scalar conservation laws
M. Di Francesco, S. Fagioli, M.D. Rosini
Bollettino dell'Unione Matematica Italiana 10 (2017) 487–501
DOI: 10.1007/s40574-017-0132-2
Preprint: arXiv
Traveling waves for degenerate diffusive equations on networks
A. Corli, L. di Ruvo, L. Malaguti, M.D. Rosini
Networks and Heterogeneous Media 12 (2017) 339–370
General phase transition models for vehicular traffic with point constraints on the flow
E. Dal Santo, M.D. Rosini, N. Dymski, M. Benyahia
Mathematical Methods in the Applied Sciences 40 (2017) 6623–6641
A macroscopic traffic model with phase transitions and local point constraints on the flow
M. Benyahia, M.D. Rosini
Networks and Heterogeneous Media 12 (2017) 297–317
Preprint: arXiv
Deterministic particle approximation of the Hughes model in one space dimension
M. Di Francesco, S. Fagioli, M.D. Rosini, G. Russo
Kinetic and Related Models 10 (2017) 215–237
Preprint: arXiv
Many particle approximation of the Aw-Rascle-Zhang second order model for vehicular traffic
M. Di Francesco, S. Fagioli, M.D. Rosini
Mathematical Biosciences and Engineering 14 (2017) 127–141
Preprint: arXiv
Entropy solutions for a traffic model with phase transitions
M. Benyahia, M.D. Rosini
Nonlinear Analysis: Theory, Methods & Applications 141 (2016) 167–190
Qualitative behaviour and numerical approximation of solutions to conservation laws with non-local point constraints on the flux and modeling of crowd dynamics at the bottlenecks
B. Andreianov, C. Donadello, U. Razafison, M.D. Rosini
ESAIM: Mathematical Modelling and Numerical Analysis 50 (2016) 1269–1287
Preprint: arXiv, ceon, HAL, ntnu
A second order model for vehicular traffics with local point constraints on the flow
B. Andreianov, C. Donadello, M.D. Rosini
Mathematical Models and Methods in Applied Sciences 26 (2016) 751–802
DOI: 10.1142/S0218202516500172
Preprint: HAL
Solutions of the Aw-Rascle-Zhang system with point constraints
B. Andreianov, C. Donadello, U. Razafison, J.Y. Rolland, M.D. Rosini
Networks and Heterogeneous Media 11 (2016) 29–47
Preprint: HAL
Rigorous derivation of nonlinear scalar conservation laws from follow-the-leader type models via many particle limit
M. Di Francesco, M.D. Rosini
Archive for Rational Mechanics and Analysis 217 (2015) 831–871
DOI: 10.1007/s00205-015-0843-4
Riemann problems with non–local point constraints and capacity drop
B. Andreianov, C. Donadello, M.D. Rosini, U. Razafison
Mathematical Biosciences and Engineering 12 (2015) 259–278
Existence results for Hughes’ model for pedestrian flows
D. Amadori, P. Goatin, M.D. Rosini
Journal of Mathematical Analysis and Applications 420 (2014) 387–406
DOI: 10.1016/j.jmaa.2014.05.072
Preprint: HAL
Crowd Dynamics and Conservation Laws with Non–Local Constraints and Capacity Drop
B. Andreianov, C. Donadello, M.D. Rosini
Mathematical Models and Methods in Applied Sciences 24 (2014) 2685–2722
DOI: 10.1142/S0218202514500341
On entropy weak solutions of Hughes’ model for pedestrian motion
N. El-Khatib, P. Goatin, M.D. Rosini
Zeitschrift für angewandte Mathematik und Physik 64 (2013) 223–251
DOI: 10.1007/s00033-012-0232-x
Preprint: HAL
On the modelling and management of traffic
R.M. Colombo, P. Goatin, M.D. Rosini
ESAIM: Mathematical Modelling and Numerical Analysis 45 (2011) 853–872
Stability of Surface Rayleigh Waves in an Elastic Half-Space
M.D. Rosini
Studies in Applied Mathematics 124 (2010) 179–211
DOI: 10.1111/j.1467-9590.2009.00467.x
Weakly nonlinear surface waves and subsonic phase boundaries
S. Benzoni-Gavage, M.D. Rosini
Computers & Mathematics with Applications 57 (2009) 1463–1484
DOI: 10.1016/j.camwa.2008.12.001
Preprint: HAL
Stability and Total Variation Estimates on General Scalar Balance Laws
R.M. Colombo, M. Mercier, M.D. Rosini
Communications in Mathematical Sciences 7 (2009) 37–65
DOI: 10.4310/CMS.2009.v7.n1.a2
Stability Estimates on General Scalar Balance Laws
R.M. Colombo, M. Mercier, M.D. Rosini
Comptes rendus - Mathematique 347 (2009) 45–48
DOI: 10.1016/j.crma.2008.11.005
Existence of nonclassical solutions in a Pedestrian flow model
R.M. Colombo, M.D. Rosini
Journal of Nonlinear Analysis-B: Real World Applications 10 (2009) 2716–2728
DOI: 10.1016/j.nonrwa.2008.08.002
Preprint: www
Nonclassical Interactions Portrait in a Macroscopic Pedestrian Flow Model
M.D. Rosini
J. Differential Equations 246 (2009) 408-427
DOI: 10.1016/j.jde.2008.03.018
Preprint: www
Well Posedness of Balance Laws with Non-Characteristic Boundary
R.M. Colombo, M.D. Rosini
Bollettino dell’Unione Matematica Italiana, 10-B, (2007), no. 8, 875–894
Preprint: www
Non local balance laws in traffic models and crystal growth
R.M. Colombo, A. Corli, M.D. Rosini
ZAMM Z. Angew. Math. Mech. 87 (2007), no. 6, 449–461
Well Posedness of Balance Laws with Boundary
R.M. Colombo, M.D. Rosini
Journal of Mathematical Analysis and Applications, 311 (2005), no. 2, 683–702
DOI: 10.1016/j.jmaa.2005.03.008
Preprint: www
Pedestrian Flows and Nonclassical Shocks
R.M. Colombo, M.D. Rosini
Mathematical Methods in the Applied Sciences, 28 (2005), no. 13, 1553–1567
Preprint: www
Stability of hydrodynamic model for semiconductor
M.D. Rosini
Archivum Mathematicum, 41 (2005), no. 1, 37–58
Esistenza e stabilità di onde di shock transonici nel modello idrodinamico per semiconduttori (Existence and stability of transonic shock waves in the hydrodynamic model for semiconductors)
M.D. Rosini
Bollettino UMI , no. 3/1–Dicembre (2005), 633–636
A phase analysis of transonic solutions for the hydrodynamic semiconductor model
M.D. Rosini
Quarterly of Applied Mathematics, 63 (2005), no. 2, 251–268
DOI: 10.1090/S0033-569X-05-00942-1
Stability of transonic strong shock waves for the one-dimensional hydrodynamic model for semiconductors
M.D. Rosini
J. Differential Equations, 199 (2004), no. 2, 326–351
Published Book
Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications
M.D. Rosini
Understanding Complex Systems, Springer Verlag, XII, 242 pages, 2013
Published Chapter Books
The Mathematical Theory of Hughes’ Model: A Survey of Results
D. Amadori, B. Andreianov, M. Di Francesco, S. Fagioli, T. Girard, P. Goatin, P. Markowich, J.-F. Pietschmann, M.D. Rosini, G. Russo, G. Stivaletta and M.T. Wolfram
Crowd Dynamics, Volume 4, Birkhäuser-Springer
9–53, 2023
Microscopic and macroscopic models for vehicular and pedestrian flows
M.D. Rosini
Preprint: HAL
One-dimensional conservation laws with non-local point constraints on the flux
B. Andreianov, C. Donadello, U. Razafison, M.D. Rosini
Crowd Dynamics, Volume 1, Birkhäuser-Springer
103–135, 2018
Editors: Livio Gibelli, Nicola Bellomo
DOI: 10.1007/978-3-030-05129-7_5
Follow-the-leader approximations of macroscopic models for vehicular and pedestrian flows
M. Di Francesco, S. Fagioli, M.D. Rosini, G. Russo
Active Particles, Volume 1, Springer International Publishing, Cham
333–378, 2017
Editors: Nicola Bellomo, Pierre Degond, Eitan Tadmor
DOI: 10.1007/978-3-319-49996-3_9
Conference Proceedings
Mathematical Modeling of Chattering and the Optimal Design of a Valve
A. Corli, M.D. Rosini, U. Razafison
"IEEE 63rd Conference on Decision and Control (CDC)" (2024) 76-81
DOI: 10.1109/cdc56724.2024.10886245
Microscopic selection of solutions to scalar conservation laws with discontinuous flux in the context of vehicular traffic
B. Andreianov, M.D. Rosini
"SOTA 2018: Semigroups of Operators – Theory and Applications" (2020) 113-135
DOI: 10.1007/978-3-030-46079-2_7
Preprint: HAL
Modeling moving bottlenecks on road networks
N. Dymski, P. Goatin, M.D. Rosini
"Hyperbolic Problems: Theory, Numerics, Applications, Pennsylvania, USA, June 2018" (2019) 424-431
Preprint: HAL
A deterministic particle approximation for non-linear conservation laws
M. Di Francesco, S. Fagioli, M.D. Rosini, G. Russo
"Theory, Numerics and Applications of Hyperbolic Problems, Aachen, Germany, August 2016", PROMS series, Springer Verlag (2018) 487-499
Editors: Christian Klingenberg and Michael Westdickenberg
DOI: 10.1007/978-3-319-91545-6_37
Modeling Crowd Dynamics through Hyperbolic-Elliptic Equations
R.M. Colombo, M. Gokieli, M.D. Rosini
Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis, European Mathematical Society (2018) 111–128
Editors: F. Gesztesy, H. Hanche-Olsen, E. Jakobsen, Y. Lyubarskii, N.H. Risebro, K. Seip.
Preprint: arXiv
The Riemann problem for a general phase transition model on networks
E. Dal Santo, M.D. Rosini, N. Dymski
"Theory, Numerics and Applications of Hyperbolic Problems, Aachen, Germany, August 2016", PROMS series, Springer Verlag (2018) 445-457
Editors: Christian Klingenberg and Michael Westdickenberg
DOI: 10.1007/978-3-319-91545-6_34
On the management of vehicular and pedestrian flows
R.M. Colombo, P. Goatin, M.D. Rosini
Proceedings of 14th International Conference on Hyperbolic Problems: Theory, Numerics, Applications, Padua, Italy, AIMS on Applied Mathematics 8 (2014) 889–897
Preprint: HAL
Non-local constraints and crowd dynamics
M.D. Rosini
Proceedings of Hyperbolic Techniques for Phase Dynamics, Oberwolfach, Germany, Report 29/2013, (2013) 1739
Macroscopic Models for Pedestrian Flows
R.M. Colombo, P. Goatin, G. Maternini, M.D. Rosini
Proceedings of the International Conference Big Events and Transport, Venice. Editors: IUAV– TTL Research Unit (2010) 11–22
Preprint: HAL
A macroscopic model for pedestrian flows in panic situations
R.M. Colombo, P. Goatin, M.D. Rosini
Gakuto International Series. Mathematical Sciences and Applications 32 (2010) 255–272
Preprint: HAL
Conservation Laws with Unilateral Constraints in Traffic Modeling
R.M. Colombo, P. Goatin, M.D. Rosini
Applied and Industrial Mathematics in Italy III. E.De Bernardis, R.Spigler, V.Valente editori. Series on Advances in Mathematics for Applied Sciences, 82 (2009) 244-255
DOI: 10.1142/9789814280303_0022
Preprint: HAL
Using conservation Laws in Pedestrian Modeling
R.M. Colombo, P. Goatin, G. Maternini, M.D. Rosini
Transport Management and Land-Use Effects in Presence of Unusual Demand, Atti del convegno SIDT 2009. L.Mussone, U.Crisalli editori. (2009) 73–79
On the Continuum Modeling of Crowds
R.M. Colombo, G. Facchi, G. Maternini, M.D. Rosini
Hyperbolic Problems: Theory, Numerics and Applications, E.Tadmor, J.-G.Luo, A.E.Tzavaras editors, Proceedings of the International Conference Hyp2008, College Park, Maryland, USA. Proceedings of Symposia in Applied Mathematics, 67, (2009), no. 2, 517–526