Partial differential equation models in macroeconomics, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.3, issue.1, p.20130397, 2014. ,
DOI : 10.2307/2297841
Preconditioning the augmented Lagrangian method for instationary mean field games with diffusion In preparation, 2016. ,
On the regularity of the pressure field of Brenier's weak solutions to incompressible Euler equations, Calc. Var, PDE, issue.4, pp.31-497, 2008. ,
Geodesics in the Space of Measure-Preserving Maps and Plans, Archive for Rational Mechanics and Analysis, vol.5, issue.5, pp.421-462, 2009. ,
DOI : 10.1007/s00205-008-0189-2
URL : https://hal.archives-ouvertes.fr/hal-00838835
Gradient flows in metric spaces and in the space of probability measures, Lectures in Mathematics, 2005. ,
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem, Numerische Mathematik, vol.84, issue.3, pp.375-393, 2000. ,
DOI : 10.1007/s002110050002
Augmented Lagrangian Methods for Transport Optimization, Mean Field Games and Degenerate Elliptic Equations, Journal of Optimization Theory and Applications, vol.111, issue.2, 2015. ,
DOI : 10.1007/s10957-015-0725-9
New lower semicontinuity results for nonconvex functionals defined on measures, Nonlinear Anal, pp.15-679, 1990. ,
Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations, Communications on Pure and Applied Mathematics, vol.111, issue.4, pp.411-452, 1999. ,
DOI : 10.1002/(SICI)1097-0312(199904)52:4<411::AID-CPA1>3.0.CO;2-3
An Optimization Problem for Mass Transportation with Congested Dynamics, SIAM Journal on Control and Optimization, vol.48, issue.3, pp.1961-1976, 2010. ,
DOI : 10.1137/07070543X
URL : https://hal.archives-ouvertes.fr/hal-00385145
Weak Solutions for First Order Mean Field Games with Local Coupling, 2013. ,
DOI : 10.1007/978-3-319-06917-3_5
URL : https://hal.archives-ouvertes.fr/hal-00827957
Geodesics for a class of distances in the space of probability measures, Calc. Var, pp.395-420, 2013. ,
Mean field games systems of first order, ESAIM: Control, Optimisation and Calculus of Variations, vol.21, issue.3, 2015. ,
DOI : 10.1051/cocv/2014044
URL : https://hal.archives-ouvertes.fr/hal-00925905
Second order mean field games with degenerate diffusion and local coupling, Nonlinear Differ, Equ. Appl, vol.22, pp.1287-1317, 2015. ,
Santambrogio First order Mean Field Games with density constraints: pressure equals price ,
Optimal Transportation with Traffic Congestion and Wardrop Equilibria, SIAM Journal on Control and Optimization, vol.47, issue.3, pp.1330-1350, 2008. ,
DOI : 10.1137/060672832
URL : https://hal.archives-ouvertes.fr/hal-00361010
A continuous theory of traffic congestion and Wardrop equilibria, Journal of Mathematical Sciences, vol.2, issue.12, pp.792-804, 2010. ,
DOI : 10.1007/s10958-012-0715-5
Convex Analysis and Variational Problems, Classics in Mathematics, Society for Industrial and Applied Mathematics, 1999. ,
DOI : 10.1137/1.9781611971088
Augmented Lagrangian methods, Applications to the Numerical Solution of Boundary-Value Problems, 1983. ,
Optimal Control of First-Order Hamilton???Jacobi Equations with Linearly Bounded Hamiltonian, Applied Mathematics & Optimization, vol.9, issue.6, pp.185-224, 2014. ,
DOI : 10.1007/s00245-014-9239-3
URL : https://hal.archives-ouvertes.fr/hal-00871964
Jeux ?? champ moyen. I ??? Le cas stationnaire, Comptes Rendus Mathematique, vol.343, issue.9, pp.619-625, 2006. ,
DOI : 10.1016/j.crma.2006.09.019
JeuxàJeux`Jeuxà champ moyen. II. Horizon fini et contrôle optimal, C. R. Math. Acad. Sci. Paris, issue.10, pp.343-679, 2006. ,
Mean field games, Japanese Journal of Mathematics, vol.4, issue.1, pp.229-260, 2007. ,
DOI : 10.1007/s11537-007-0657-8
URL : https://hal.archives-ouvertes.fr/hal-00667356
A MACROSCOPIC CROWD MOTION MODEL OF GRADIENT FLOW TYPE, Mathematical Models and Methods in Applied Sciences, vol.20, issue.10, pp.1787-1821, 2010. ,
DOI : 10.1142/S0218202510004799
URL : https://hal.archives-ouvertes.fr/hal-00418511
Silva A variational approach to second order mean field games with density constraints: the stationary case, J. Math. Pures Appl ,
Santambrogio Global-in-time regularity via duality for congestion-penalized Mean Field Games ,
A modest proposal for MFG with density constraints, Networks and Heterogeneous Media, vol.7, issue.2, pp.337-347, 2012. ,
DOI : 10.3934/nhm.2012.7.337
URL : https://hal.archives-ouvertes.fr/hal-00637325
Regularity via duality. Short lecture notes ,
URL : https://hal.archives-ouvertes.fr/hal-01295289
Topics in Optimal Transportation, Graduate Studies in Mathematics AMS, vol.58, 2003. ,
DOI : 10.1090/gsm/058
CORRESPONDENCE. SOME THEORETICAL ASPECTS OF ROAD TRAFFIC RESEARCH., Proceedings of the Institution of Civil Engineers, vol.1, issue.5, pp.325-378, 1952. ,
DOI : 10.1680/ipeds.1952.11362