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Marco Di Francesco
Marco Di Francesco
University of L'Aquila
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Titel
Zitiert von
Zitiert von
Jahr
Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations
JA Carrillo, M DiFrancesco, A Figalli, T Laurent, D Slepčev
3232011
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
2302010
Mean field games with nonlinear mobilities in pedestrian dynamics
M Burger, M Di Francesco, P Markowich, MT Wolfram
arXiv preprint arXiv:1304.5201, 2013
1602013
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
1592010
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
1442006
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
1412011
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
1152015
Measure solutions for non-local interaction PDEs with two species
M Di Francesco, S Fagioli
Nonlinearity 26 (10), 2777, 2013
1122013
Large time behavior of nonlocal aggregation models with nonlinear diffusion
M Burger, M Di Francesco
Networks and Heterogeneous Media 3 (4), 749-785, 2008
1062008
The one-dimensional hughes model for pedestrian flow: Riemann—type solutions
D Amadori, M Di Francesco
Acta Mathematica Scientia 32 (1), 259-280, 2012
662012
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
512015
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
Stationary states of quadratic diffusion equations with long-range attraction
M Burger, M Di Francesco, M Franek
arXiv preprint arXiv:1103.5365, 2011
492011
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
482015
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
472007
Nonlinear degenerate cross-diffusion systems with nonlocal interaction
M Di Francesco, A Esposito, S Fagioli
Nonlinear Analysis 169, 94-117, 2018
442018
Fully parabolic Keller–Segel model for chemotaxis with prevention of overcrowding
M Di Francesco, J Rosado
Nonlinearity 21 (11), 2715, 2008
432008
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
372019
The entropy dissipation method for spatially inhomogeneous reaction–diffusion-type systems
M Di Francesco, K Fellner, PA Markowich
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2008
372008
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
362018
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