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Marco Di Francesco
Marco Di Francesco
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Title
Cited by
Cited by
Year
Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations
JA Carrillo, M DiFrancesco, A Figalli, T Laurent, D Slepčev
3432011
Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior
M Di Francesco, A Lorz, P Markowich
Discrete and Continuous Dynamical Systems 28 (4), 1437-1453, 2010
2482010
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
1672010
Mean field games with nonlinear mobilities in pedestrian dynamics
M Burger, M Di Francesco, P Markowich, MT Wolfram
arXiv preprint arXiv:1304.5201, 2013
1632013
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
1492006
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
1482011
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
1272015
Measure solutions for non-local interaction PDEs with two species
M Di Francesco, S Fagioli
Nonlinearity 26 (10), 2777, 2013
1212013
Large time behavior of nonlocal aggregation models with nonlinear diffusion
M Burger, M Di Francesco
Networks and Heterogeneous Media 3 (4), 749-785, 2008
1102008
The one-dimensional hughes model for pedestrian flow: Riemann—type solutions
D Amadori, M Di Francesco
Acta Mathematica Scientia 32 (1), 259-280, 2012
692012
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
612015
Nonlinear degenerate cross-diffusion systems with nonlocal interaction
M Di Francesco, A Esposito, S Fagioli
Nonlinear Analysis 169, 94-117, 2018
562018
Stationary states of quadratic diffusion equations with long-range attraction
M Burger, M Di Francesco, M Franek
arXiv preprint arXiv:1103.5365, 2011
522011
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
502015
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
492012
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
482007
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
452018
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
442019
Fully parabolic Keller–Segel model for chemotaxis with prevention of overcrowding
M Di Francesco, J Rosado
Nonlinearity 21 (11), 2715, 2008
442008
A nonlocal swarm model for predators–prey interactions
M Di Francesco, S Fagioli
Mathematical Models and Methods in Applied Sciences 26 (02), 319-355, 2016
402016
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