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Filippo Santambrogio
Filippo Santambrogio
Professor of Applied Mathematics, Université Claude Bernard Lyon 1
Verified email at math.univ-lyon1.fr - Homepage
Title
Cited by
Cited by
Year
Optimal transport for applied mathematicians
F Santambrogio
Birkäuser, NY 55 (58-63), 94, 2015
22022015
A macroscopic crowd motion model of gradient flow type
B Maury, A Roudneff-Chupin, F Santambrogio
Mathematical Models and Methods in Applied Sciences 20 (10), 1787-1821, 2010
3042010
{Euclidean, metric, and Wasserstein} gradient flows: an overview
F Santambrogio
Bulletin of Mathematical Sciences 7, 87-154, 2017
2512017
Handling congestion in crowd motion modeling
B Maury, A Roudneff-Chupin, F Santambrogio, J Venel
arXiv preprint arXiv:1101.4102, 2011
1552011
Variational mean field games
JD Benamou, G Carlier, F Santambrogio
Active Particles, Volume 1: Advances in Theory, Models, and Applications …, 2017
1442017
Optimal transportation with traffic congestion and Wardrop equilibria
G Carlier, C Jimenez, F Santambrogio
SIAM Journal on Control and Optimization 47 (3), 1330-1350, 2008
1362008
From Knothe's transport to Brenier's map and a continuation method for optimal transport
G Carlier, A Galichon, F Santambrogio
SIAM Journal on Mathematical Analysis 41 (6), 2554-2576, 2010
1292010
First order mean field games with density constraints: pressure equals price
P Cardaliaguet, AR Mészáros, F Santambrogio
SIAM Journal on Control and Optimization 54 (5), 2672-2709, 2016
972016
Congested traffic dynamics, weak flows and very degenerate elliptic equations
L Brasco, G Carlier, F Santambrogio
Journal de mathématiques pures et appliquées 93 (6), 652-671, 2010
912010
A model for the optimal planning of an urban area
G Buttazzo, F Santambrogio
SIAM journal on mathematical analysis 37 (2), 514-530, 2005
892005
Mean field games and applications: Numerical aspects
Y Achdou, P Cardaliaguet, F Delarue, A Porretta, F Santambrogio, ...
Mean Field Games: Cetraro, Italy 2019, 249-307, 2020
882020
Absolute continuity and summability of transport densities: simpler proofs and new estimates
F Santambrogio
Calculus of variations and partial differential equations 36, 343-354, 2009
822009
A Modica-Mortola approximation for branched transport and applications
E Oudet, F Santambrogio
Archive for rational mechanics and analysis 201, 115-142, 2011
722011
Optimal channel networks, landscape function and branched transport
F Santambrogio
Interfaces and Free Boundaries 9 (1), 149-169, 2007
672007
Path functionals over Wasserstein spaces
A Brancolini, G Buttazzo, F Santambrogio
J. Eur. Math. Soc.(JEMS) 8 (3), 415-434, 2006
662006
An introduction to mean field game theory
Y Achdou, P Cardaliaguet, F Delarue, A Porretta, F Santambrogio, ...
Mean Field Games: Cetraro, Italy 2019, 1-158, 2020
632020
A modest proposal for MFG with density constraints
F Santambrogio
arXiv preprint arXiv:1111.0652, 2011
552011
Splitting schemes and segregation in reaction cross-diffusion systems
JA Carrillo, S Fagioli, F Santambrogio, M Schmidtchen
SIAM Journal on Mathematical Analysis 50 (5), 5695-5718, 2018
542018
BV estimates in optimal transportation and applications
G De Philippis, AR Mészáros, F Santambrogio, B Velichkov
Archive for Rational Mechanics and Analysis 219, 829-860, 2016
532016
Optimal Transport for applied mathematicians, progress in nonlinear differential equations and their applications
F Santambrogio
Birkhäuser Basel, 2015
512015
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