-
1
-
-
84907863441
-
Partial differential equation models in macroeconomics
-
Y. Achdou, F. J. Buera, J.-M. Lasry, P.-L. Lions, B. Moll, Partial differential equation models in macroeconomics, Phil. Trans. R. Soc. A 372 (2014), 20130397.
-
(2014)
Phil. Trans. R. Soc. A
, vol.372
-
-
Achdou, Y.1
Buera, F.J.2
Lasry, J.-M.3
Lions, P.-L.4
Moll, B.5
-
3
-
-
38849176743
-
On the regularity of the pressure field of Brenier’s weak solutions to incompressible Euler equations
-
L. Ambrosio, A. Figalli, On the regularity of the pressure field of Brenier’s weak solutions to incompressible Euler equations, Calc. Var. PDE, 31 (2008) No. 4, 497-509.
-
(2008)
Calc. Var. PDE
, vol.31
, Issue.4
, pp. 497-509
-
-
Ambrosio, L.1
Figalli, A.2
-
4
-
-
70349507985
-
Geodesics in the space of measure-preserving maps and plans
-
L. Ambrosio, A. Figalli, Geodesics in the space of measure-preserving maps and plans, Arch. Rational Mech. Anal., 194 (2009), 421-462.
-
(2009)
Arch. Rational Mech. Anal.
, vol.194
, pp. 421-462
-
-
Ambrosio, L.1
Figalli, A.2
-
6
-
-
0034407460
-
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
-
J.-D. Benamou, Y. Brenier, A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem, Numer. Math., 84 (2000), 375–393.
-
(2000)
Numer. Math.
, vol.84
, pp. 375-393
-
-
Benamou, J.-D.1
Brenier, Y.2
-
7
-
-
84941420139
-
Augmented Lagrangian Methods for Transport Optimization, Mean Field Games and Degenerate Elliptic Equations
-
October
-
J.-D. Benamou, G. Carlier, Augmented Lagrangian Methods for Transport Optimization, Mean Field Games and Degenerate Elliptic Equations, Journal of Optimization Theory and Applications October 2015, Volume 167, Issue 1, pp 1-26.
-
(2015)
Journal of Optimization Theory and Applications
, vol.167
, Issue.1
, pp. 1-26
-
-
Benamou, J.-D.1
Carlier, G.2
-
8
-
-
0038511795
-
New lower semicontinuity results for nonconvex functionals defined on measures
-
G. Bouchitté, G. Buttazzo, New lower semicontinuity results for nonconvex functionals defined on measures, Nonlinear Anal., 15 (1990), pp. 679–692.
-
(1990)
Nonlinear Anal
, vol.15
, pp. 679-692
-
-
Bouchitté, G.1
Buttazzo, G.2
-
9
-
-
0033483717
-
Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations
-
Y. Brenier, Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations, Comm. Pure Appl. Math., 52 (1999) 4, 411–452.
-
(1999)
Comm. Pure Appl. Math.
, vol.52
, Issue.4
, pp. 411-452
-
-
Brenier, Y.1
-
10
-
-
78149285853
-
An Optimization Problem for Mass Transportation with Congested Dynamics
-
G. Buttazzo, C. Jimenez, E. Oudet, An Optimization Problem for Mass Transportation with Congested Dynamics SIAM J. Control Optim. 48 (2010), 1961–1976.
-
(2010)
SIAM J. Control Optim
, vol.48
, pp. 1961-1976
-
-
Buttazzo, G.1
Jimenez, C.2
Oudet, E.3
-
13
-
-
84885675830
-
Geodesics for a class of distances in the space of probability measures
-
P. Cardaliaguet, G. Carlier, B. Nazaret, Geodesics for a class of distances in the space of probability measures, Calc. Var. PDE, 48 (2013), no. 2-3, 395-420.
-
(2013)
Calc. Var. PDE
, vol.48
, Issue.2-3
, pp. 395-420
-
-
Cardaliaguet, P.1
Carlier, G.2
Nazaret, B.3
-
15
-
-
84942369075
-
Second order mean field games with degenerate diffusion and local coupling
-
P. Cardaliaguet, J. Graber, A. Porretta and D. Tonon, Second order mean field games with degenerate diffusion and local coupling, Nonlinear Differ. Equ. Appl., 22 (2015), 1287-1317.
-
(2015)
Nonlinear Differ. Equ. Appl.
, vol.22
, pp. 1287-1317
-
-
Cardaliaguet, P.1
Graber, J.2
Porretta, A.3
Tonon, D.4
-
16
-
-
84992539178
-
First order Mean Field Games with density constraints: Pressure equals price
-
P. Cardaliaguet, A. R. Mészáros, F. Santambrogio First order Mean Field Games with density constraints: pressure equals price. SIAM Journal on Control and Optimization 2016, Vol. 54, No. 5, pp. 2672-2709.
-
(2016)
SIAM Journal on Control and Optimization
, vol.54
, Issue.5
, pp. 2672-2709
-
-
Cardaliaguet, P.1
Mészáros, A.R.2
Santambrogio, F.3
-
17
-
-
55549113567
-
Optimal transportation with traffic congestion and Wardrop equilibria
-
G. Carlier, C. Jimenez, F. Santambrogio, Optimal transportation with traffic congestion and Wardrop equilibria, SIAM J. Control Optim. (47), 2008, 1330-1350.
-
(2008)
SIAM J. Control Optim.
, vol.47
, pp. 1330-1350
-
-
Carlier, G.1
Jimenez, C.2
Santambrogio, F.3
-
18
-
-
84858752438
-
A continuous theory of traffic congestion and Wardrop equilibria, proceedings of Optimization and stochastic methods for spatially distributed information, St Petersburg, 2010
-
G. Carlier, F. Santambrogio, A continuous theory of traffic congestion and Wardrop equilibria, proceedings of Optimization and stochastic methods for spatially distributed information, St Petersburg, 2010. Journal of Mathematical Sciences, 181 (6), 792–804, 2012.
-
(2012)
Journal of Mathematical Sciences
, vol.181
, Issue.6
, pp. 792-804
-
-
Carlier, G.1
Santambrogio, F.2
-
19
-
-
0002125350
-
Convex Analysis and Variational Problems, Classics in Mathematics, Society for Industrial and
-
I. Ekeland, R. Temam, Convex Analysis and Variational Problems, Classics in Mathematics, Society for Industrial and Applied Mathematics (1999).
-
(1999)
Applied Mathematics
-
-
Ekeland, I.1
Temam, R.2
-
20
-
-
0003650459
-
-
Applications to the Numerical Solution of Boundary-Value Problems, North-Holland
-
M. Fortin, R. Glowinski, Augmented Lagrangian methods, Applications to the Numerical Solution of Boundary-Value Problems, North-Holland (1983).
-
(1983)
Augmented Lagrangian Methods
-
-
Fortin, M.1
Glowinski, R.2
-
21
-
-
84939414771
-
Optimal control of first-order Hamilton-Jacobi equations with linearly bounded Hamiltonian
-
P.J. Graber, Optimal control of first-order Hamilton-Jacobi equations with linearly bounded Hamiltonian, Appl. Math. Optim., 70 (2014), no. 2, 185–224.
-
(2014)
Appl. Math. Optim.
, vol.70
, Issue.2
, pp. 185-224
-
-
Graber, P.J.1
-
22
-
-
33750627999
-
Jeux à champ moyen. I. Le cas stationnaire
-
J.- M. Lasry, P.-L. Lions, Jeux à champ moyen. I. Le cas stationnaire, C. R. Math. Acad. Sci. Paris, 343 (2006), No. 9, 619–625.
-
(2006)
C. R. Math. Acad. Sci. Paris
, vol.343
, Issue.9
, pp. 619-625
-
-
Lasry, J.-M.1
Lions, P.-L.2
-
23
-
-
33751077273
-
Jeux à champ moyen. II. Horizon fini et contrôle optimal
-
J.-M. Lasry, P.-L. Lions, Jeux à champ moyen. II. Horizon fini et contrôle optimal, C. R. Math. Acad. Sci. Paris, 343 (2006), No. 10, 679–684.
-
(2006)
C. R. Math. Acad. Sci. Paris
, vol.343
, Issue.10
, pp. 679-684
-
-
Lasry, J.-M.1
Lions, P.-L.2
-
24
-
-
34047127341
-
Mean field games
-
J.-M. Lasry, P.-L. Lions, Mean field games, Jpn. J. Math., 2 (2007), no. 1, 229–260.
-
(2007)
Jpn. J. Math.
, vol.2
, Issue.1
, pp. 229-260
-
-
Lasry, J.-M.1
Lions, P.-L.2
-
26
-
-
78149284346
-
A macroscopic crowd motion model of gradient flow type
-
B. Maury, A. Roudneff-Chupin, F. Santambrogio A macroscopic crowd motion model of gradient flow type, Math. Models and Methods in Appl. Sciences Vol. 20, No. 10 (2010), 1787–1821.
-
(2010)
Math. Models and Methods in Appl. Sciences
, vol.20
, Issue.10
, pp. 1787-1821
-
-
Maury, B.1
Roudneff-Chupin, A.2
Santambrogio, F.3
-
27
-
-
85030262452
-
A variational approach to second order mean field games with density constraints: The stationary case
-
to appear
-
A. R. Mészáros, F. J. Silva A variational approach to second order mean field games with density constraints: the stationary case. J. Math. Pures Appl., to appear.
-
J. Math. Pures Appl.
-
-
Mészáros, A.R.1
Silva, F.J.2
-
28
-
-
85030250593
-
Global-in-time regularity via duality for congestion-penalized Mean Field Games
-
A. Prosinski, F. Santambrogio Global-in-time regularity via duality for congestion-penalized Mean Field Games. Preprint available at cvgmt.sns.it.
-
Preprint
-
-
Prosinski, A.1
Santambrogio, F.2
-
29
-
-
84865563114
-
A modest proposal for MFG with density constraints
-
F. Santambrogio, A modest proposal for MFG with density constraints, Netw. Heterog. Media, 7 (2012) No. 2, 337–347.
-
(2012)
Netw. Heterog. Media
, vol.7
, Issue.2
, pp. 337-347
-
-
Santambrogio, F.1
-
30
-
-
84948108207
-
Optimal Transport for Applied Mathematicians, book, Progress in Nonlinear Differential Equations and Their Applications 87
-
F. Santambrogio Optimal Transport for Applied Mathematicians, book, Progress in Nonlinear Differential Equations and Their Applications 87, Birkhäuser Basel (2015).
-
(2015)
Birkhäuser Basel
-
-
Santambrogio, F.1
-
31
-
-
85030214290
-
-
Short lecture notes
-
F. Santambrogio Regularity via duality. Short lecture notes, available at http://www.math. u-psud.fr/~santambr/LectureNotesDuality.pdf
-
Regularity via Duality
-
-
Santambrogio, F.1
-
32
-
-
85030263154
-
Optimal Transportation. Graduate Studies in Mathematics
-
C. VillaniTopics in Optimal Transportation. Graduate Studies in Mathematics, AMS, (2003).
-
(2003)
AMS
-
-
Villanitopics, C.1
-
33
-
-
0003310913
-
Some theoretical aspects of road traffic research
-
J. G. Wardrop, Some theoretical aspects of road traffic research, Proc. Inst. Civ. Eng.2 (1952), 325-378.
-
(1952)
Proc. Inst. Civ. Eng.
, vol.2
, pp. 325-378
-
-
Wardrop, J.G.1
|