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On existence, stability and many-particle approximation of solutions of 1D Hughes' model with linear costs
Boris Andreianov, Massimiliano D. Rosini and Graziano Stivaletta Journal of Differential Equations 369 253 (2023) https://doi.org/10.1016/j.jde.2023.06.004
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 9 (2023) https://doi.org/10.1007/978-3-031-46359-4_2
A filtered Chebyshev spectral method for conservation laws on network
Entropy solutions for a two-phase transition model for vehicular traffic with metastable phase and time depending point constraint on the density flow
Boris Andreianov, Carlotta Donadello and Massimiliano D. Rosini Nonlinear Differential Equations and Applications NoDEA 28(3) (2021) https://doi.org/10.1007/s00030-021-00689-5
Influence of a slow moving vehicle on traffic: Well-posedness and approximation for a mildly nonlocal model
Lack of BV bounds for approximate solutions to a two-phase transition model arising from vehicular traffic
Mohamed Benyahia and Massimiliano D. Rosini Mathematical Methods in the Applied Sciences (2020) https://doi.org/10.1002/mma.6304
Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples
Boris Andreianov and Abraham Sylla Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples 323 243 (2020) https://doi.org/10.1007/978-3-030-43651-3_21
Semigroups of Operators – Theory and Applications
Boris Andreianov and Massimiliano D. Rosini Springer Proceedings in Mathematics & Statistics, Semigroups of Operators – Theory and Applications 325 113 (2020) https://doi.org/10.1007/978-3-030-46079-2_7
Representation of capacity drop at a road merge via point constraints in a first order traffic model
Edda Dal Santo, Carlotta Donadello, Sabrina F. Pellegrino and Massimiliano D. Rosini ESAIM: Mathematical Modelling and Numerical Analysis 53(1) 1 (2019) https://doi.org/10.1051/m2an/2019002
Analysis and approximation of one-dimensional scalar conservation laws with general point constraints on the flux
Boris Andreianov, Carlotta Donadello, Ulrich Razafison and Massimiliano D. Rosini Journal de Mathématiques Pures et Appliquées 116 309 (2018) https://doi.org/10.1016/j.matpur.2018.01.005
Crowd Dynamics, Volume 1
Boris Andreianov, Carlotta Donadello, Ulrich Razafison and Massimiliano Daniele Rosini Modeling and Simulation in Science, Engineering and Technology, Crowd Dynamics, Volume 1 103 (2018) https://doi.org/10.1007/978-3-030-05129-7_5
Existence of BV solutions for a non-conservative constrained Aw–Rascle–Zhang model for vehicular traffic
Nikodem S. Dymski, Paola Goatin and Massimiliano D. Rosini Journal of Mathematical Analysis and Applications 467(1) 45 (2018) https://doi.org/10.1016/j.jmaa.2018.07.025
General phase transition models for vehicular traffic with point constraints on the flow
E. Dal Santo, M. D. Rosini, N. Dymski and M. Benyahia Mathematical Methods in the Applied Sciences 40(18) 6623 (2017) https://doi.org/10.1002/mma.4478
A macroscopic traffic model with phase transitions and local point constraints on the flow
Solutions of the Aw-Rascle-Zhang system with point constraints
Boris P. Andreianov, Carlotta Donadello, Ulrich Razafison, Julien Y. Rolland and Massimiliano D. Rosini Networks and Heterogeneous Media 11(1) 29 (2016) https://doi.org/10.3934/nhm.2016.11.29
