Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations JA Carrillo, M DiFrancesco, A Figalli, T Laurent, D Slepčev | 331 | 2011 |
Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior M Di Francesco, A Lorz, P Markowich Discrete Contin. Dyn. Syst 28 (4), 1437-1453, 2010 | 237 | 2010 |
Nonlinear cross-diffusion with size exclusion M Burger, M Di Francesco, JF Pietschmann, B Schlake SIAM Journal on Mathematical Analysis 42 (6), 2842-2871, 2010 | 159 | 2010 |
Mean field games with nonlinear mobilities in pedestrian dynamics M Burger, M Di Francesco, P Markowich, MT Wolfram arXiv preprint arXiv:1304.5201, 2013 | 157 | 2013 |
The Keller–Segel model for chemotaxis with prevention of overcrowding: Linear vs. nonlinear diffusion M Burger, M Di Francesco, Y Dolak-Struss SIAM Journal on Mathematical Analysis 38 (4), 1288-1315, 2006 | 145 | 2006 |
On the Hughes' model for pedestrian flow: The one-dimensional case M Di Francesco, PA Markowich, JF Pietschmann, MT Wolfram Journal of Differential Equations 250 (3), 1334-1362, 2011 | 142 | 2011 |
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 | 120 | 2015 |
Measure solutions for non-local interaction PDEs with two species M Di Francesco, S Fagioli Nonlinearity 26 (10), 2777, 2013 | 115 | 2013 |
Large time behavior of nonlocal aggregation models with nonlinear diffusion M Burger, M Di Francesco Networks and Heterogeneous Media 3 (4), 749-785, 2008 | 107 | 2008 |
The one-dimensional hughes model for pedestrian flow: Riemann—type solutions D Amadori, M Di Francesco Acta Mathematica Scientia 32 (1), 259-280, 2012 | 66 | 2012 |
Equivalence of gradient flows and entropy solutions for singular nonlocal interaction equations in 1D GA Bonaschi, JA Carrillo, M Di Francesco, MA Peletier ESAIM: Control, Optimisation and Calculus of Variations 21 (2), 414-441, 2015 | 57 | 2015 |
Confinement in nonlocal interaction equations JA Carrillo, M Di Francesco, A Figalli, T Laurent, D Slepčev Nonlinear Analysis: Theory, Methods & Applications 75 (2), 550-558, 2012 | 49 | 2012 |
Stationary states of quadratic diffusion equations with long-range attraction M Burger, M Di Francesco, M Franek arXiv preprint arXiv:1103.5365, 2011 | 49 | 2011 |
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 |
Strict contractivity of the 2-Wasserstein distance for the porous medium equation by mass-centering J Carrillo, M Di Francesco, G Toscani Proceedings of the American Mathematical Society 135 (2), 353-363, 2007 | 48 | 2007 |
Nonlinear degenerate cross-diffusion systems with nonlocal interaction M Di Francesco, A Esposito, S Fagioli Nonlinear Analysis 169, 94-117, 2018 | 47 | 2018 |
Fully parabolic Keller–Segel model for chemotaxis with prevention of overcrowding M Di Francesco, J Rosado Nonlinearity 21 (11), 2715, 2008 | 42 | 2008 |
Deterministic particle approximation for nonlocal transport equations with nonlinear mobility M Di Francesco, S Fagioli, E Radici Journal of Differential Equations 266 (5), 2830-2868, 2019 | 38 | 2019 |
Deterministic particle approximation of scalar conservation laws M Di Francesco, S Fagioli, MD Rosini Bollettino dell'Unione Matematica Italiana 10 (3), 487-501, 2017 | 38 | 2017 |
Sorting phenomena in a mathematical model for two mutually attracting/repelling species M Burger, MD Francesco, S Fagioli, A Stevens SIAM Journal on Mathematical Analysis 50 (3), 3210-3250, 2018 | 37 | 2018 |