Pedestrian flows and non‐classical shocks RM Colombo, MD Rosini Mathematical methods in the applied sciences 28 (13), 1553-1567, 2005 | 285 | 2005 |
Rigorous derivation of nonlinear scalar conservation laws from follow-the-leader type models via many particle limit M Di Francesco, MD Rosini Archive for rational mechanics and analysis 217 (3), 831-871, 2015 | 119 | 2015 |
Macroscopic models for vehicular flows and crowd dynamics: theory and applications MD Rosini Springer, 2013 | 89 | 2013 |
Stability and total variation estimates on general scalar balance laws RM Colombo, M Mercier, MD Rosini Communications in Mathematical Sciences 7 (1), 37-65, 2009 | 66 | 2009 |
On the modelling and management of traffic RM Colombo, P Goatin, MD Rosini ESAIM: Mathematical Modelling and Numerical Analysis 45 (5), 853-872, 2011 | 64 | 2011 |
Existence of nonclassical solutions in a pedestrian flow model RM Colombo, MD Rosini Nonlinear Analysis: Real World Applications 10 (5), 2716-2728, 2009 | 58 | 2009 |
A macroscopic model for pedestrian flows in panic situations P Goatin, RM Colombo, MD Rosini 4th Polish-Japan Days 32, 255-272, 2009 | 55 | 2009 |
A second-order model for vehicular traffics with local point constraints on the flow B Andreianov, C Donadello, MD Rosini Mathematical Models and Methods in Applied Sciences 26 (04), 751-802, 2016 | 48 | 2016 |
Many particle approximation of the Aw-Rascle-Zhang second order model for vehicular traffic M Di Francesco, S Fagioli, MD Rosini arXiv preprint arXiv:1511.02700, 2015 | 48 | 2015 |
A phase analysis of transonic solutions for the hydrodynamic semiconductor model M Rosini Quarterly of applied mathematics 63 (2), 251-268, 2005 | 48 | 2005 |
On entropy weak solutions of Hughes’ model for pedestrian motion N El-Khatib, P Goatin, MD Rosini Zeitschrift für angewandte Mathematik und Physik 64 (2), 223-251, 2013 | 43 | 2013 |
Existence results for Hughes' model for pedestrian flows D Amadori, P Goatin, MD Rosini Journal of Mathematical Analysis and applications 420 (1), 387-406, 2014 | 40 | 2014 |
Crowd dynamics and conservation laws with nonlocal constraints and capacity drop B Andreianov, C Donadello, MD Rosini Mathematical Models and Methods in Applied Sciences 24 (13), 2685-2722, 2014 | 39 | 2014 |
Deterministic particle approximation of scalar conservation laws M Di Francesco, S Fagioli, MD Rosini Bollettino dell'Unione Matematica Italiana 10 (3), 487-501, 2017 | 37 | 2017 |
Deterministic particle approximation of the Hughes model in one space dimension M Di Francesco, S Fagioli, MD Rosini, G Russo arXiv preprint arXiv:1602.06153, 2016 | 32 | 2016 |
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, MD Rosini ESAIM: Mathematical Modelling and Numerical Analysis 50 (5), 1269-1287, 2016 | 30 | 2016 |
Representation of capacity drop at a road merge via point constraints in a first order traffic model E Dal Santo, C Donadello, SF Pellegrino, MD Rosini ESAIM: Mathematical Modelling and Numerical Analysis 53 (1), 1-34, 2019 | 27 | 2019 |
Follow-the-leader approximations of macroscopic models for vehicular and pedestrian flows M Di Francesco, S Fagioli, MD Rosini, G Russo Active Particles, Volume 1: Advances in Theory, Models, and Applications …, 2017 | 24 | 2017 |
Well posedness of balance laws with boundary RM Colombo, MD Rosini Journal of mathematical analysis and applications 311 (2), 683-702, 2005 | 23 | 2005 |
Nonclassical interactions portrait in a macroscopic pedestrian flow model MD Rosini Journal of Differential Equations 246 (1), 408-427, 2009 | 22 | 2009 |