{"id":74,"date":"2012-10-08T17:39:17","date_gmt":"2012-10-08T15:39:17","guid":{"rendered":"http:\/\/project.inria.fr\/isotace\/?page_id=74"},"modified":"2017-11-15T15:19:03","modified_gmt":"2017-11-15T14:19:03","slug":"publications","status":"publish","type":"page","link":"https:\/\/project.inria.fr\/isotace\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
[<\/a>1]<\/td>\nJean-David Benamou, Adam Oberman, and Froese Britanny. Numerical solution of the second boundary value problem for the Elliptic Monge-Amp\u00e8re equation. Research report, INRIA, June 2012. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: Optimal Transportation ; Monge-Amp\u00e9re Equation<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>2]<\/td>\nGuillaume Carlier and Lina Mallozzi. Optimal monopoly pricing with congestion and random utility via partial mass transport. working paper or preprint, December 2016. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: monopoly spatial pricing ; partial optimal mass transport ; congestion ; random utility<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>3]<\/td>\nAlp\u00e1r\u00a0Rich\u00e1rd M\u00e9sz\u00e1ros and Filippo Santambrogio. ADVECTION-DIFFUSION EQUATIONS WITH DENSITY CONSTRAINTS. Analysis and PDEs<\/em>, 2016. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: crowd motion ; Wasserstein space ; entropy ; Fokker-Planck<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>4]<\/td>\nHugo Lavenant. Time-convexity of the entropy in the multiphasic formulation of the incompressible euler equation. working paper or preprint, 2017. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: Flow interchange ; Euler equations ; Wasserstein space<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>5]<\/td>\nYann Brenier. The initial value problem for the Euler equations of incompressible fluids viewed as a concave maximization problem . working paper or preprint, June 2017. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: Fluid mechanics ; partial differential equations ; calculus of variation ; optimal transport ; Euler equations<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>6]<\/td>\nYann Brenier. Connections between Optimal Transport, Combinatorial Optimization and Hydrodynamics. working paper or preprint, October 2014. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: Optimal transport ; PDEs of Fluid Mechanics ; Calculus of Variations ; Combinatorial Optimization<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>7]<\/td>\nGiuseppe Buttazzo, Guillaume Carlier, and Serena Guarino Lo\u00a0Bianco. Optimal regions for congested transport. working paper or preprint, 2014. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/td>\n<\/tr>\n
[<\/a>8]<\/td>\nFilippo Santambrogio. A Dacorogna-Moser approach to flow decomposition and minimal flow problems. submitted to the proceedings of the SMAI conference 2013, October 2013. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: normal currents ; cycles ; optimal transport<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>9]<\/td>\nF\u00a0Al\u00a0Reda and B\u00a0Maury. Interpretation of Finite Volume discretization schemes for the Fokker Planck equation as gradient flows for the discrete Wasserstein distance. working paper or preprint, March 2016. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: Gradient flows ; Wasserstein distance ; Finites Volumes discretization ; Fokker-Planck equation ; Heat equation ; Resistive Network ; Markov Kernel<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>10]<\/td>\nQi-Rui Li, Filippo Santambrogio, and Xu-Jia Wang. Regularity in Monge’s mass transfer problem. Journal de Math\u00e9matiques Pures et Appliqu\u00e9es<\/em>, pages In Press, Corrected Proof, only online for the moment, 2014. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: monotone transport ; Ma-Trudinger-Wang ; Monge-Amp\u00e8re equation<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>11]<\/td>\nYann Brenier. A DOUBLE LARGE DEVIATION PRINCIPLE FOR MONGE-AMPERE GRAVITATION. working paper or preprint, March 2015. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: Monge Ampere PDE ; optimal transport theory ; Gravitation modifi\u00e9e ; large deviation theory<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>12]<\/td>\nYann Brenier and xianglong duan. An integrable example of gradient flows based on optimal transport of differential forms. working paper or preprint, March 2017. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: Optimal transport ; Differential forms ; Gradient Flow ; Relative entropy methods ; Dissipative solutions<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>13]<\/td>\nYves Achdou and Mathieu Lauri\u00e8re. Mean field type control with congestion. working paper or preprint, April 2015. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: congestion ; mean field type control ; weak solutions<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>14]<\/td>\nBruno Bouchard, Xiaolu Tan, and Yiyi Zou. Numerical approximation of BSDEs using local polynomial drivers and branching processes. working paper or preprint, December 2016. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: BSDE ; Numerical methods ; Branching process<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>15]<\/td>\nAdam Prosinski and Filippo Santambrogio. Global-in-time regularity via duality for congestion-penalized Mean Field Games. working paper or preprint, March 2016. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: mean field games ; convex duality ; Wasserstein space ; Benamou-Brenier<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>16]<\/td>\nGuido De\u00a0Philippis, Alp\u00e1r\u00a0Richard M\u00e9sz\u00e1ros, Filippo Santambrogio, and Bozhidar Velichkov. BV Estimates in Optimal Transportation and Applications. Archive for Rational Mechanics and Analysis<\/em>, 219(2):829-860, February 2016. [\u00a0bib<\/a>\u00a0| DOI<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/td>\n<\/tr>\n
[<\/a>17]<\/td>\nJean-David Benamou, Guillaume Carlier, and Luca Nenna. A Numerical Method to solve Optimal Transport Problems with Coulomb Cost. working paper or preprint, May 2015. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/td>\n<\/tr>\n
[<\/a>18]<\/td>\nBertrand Maury and Anthony Preux. Pressureless Euler equations with maximal density constraint : a time-splitting scheme. working paper or preprint, October 2015. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: Pressureless Euler equations ; congestion ; optimal transportation<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>19]<\/td>\nThomas Gallou\u00ebt and Leonard Monsaingeon. A JKO SPLITTING SCHEME FOR KANTOROVICH-FISHER-RAO GRADIENT FLOWS. working paper or preprint, February 2016. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: Unbalanced Optimal transport ; Wasserstein-Fisher-Rao ; Hellinger-Kantorovich ; Gradient flows ; JKO scheme<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>20]<\/td>\nSamer Dweik and Filippo Santambrogio. SUMMABILITY ESTIMATES ON TRANSPORT DENSITIES WITH DIRICHLET REGIONS ON THE BOUNDARY VIA SYMMETRIZATION TECHNIQUES. working paper or preprint, June 2016. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: optimal transport ; Monge-Kantorovich equation ; minimal flows<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>21]<\/td>\nB\u00a0Maury. Congested transport at microscopic and macroscopic scales. In 7th European Congress of Mathematics (7ECM)<\/em>, 7ECM Proceedings, Berlin, France, July 2016. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: Continuity equation ; crowd motion ; optimal transportation ; Wasserstein space ; granular flows ; non-smooth analysis<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>22]<\/td>\nMartial Agueh and Guillaume Carlier. Generalized solutions of a kinetic granular media equation by a gradient flow approach. working paper or preprint, June 2015. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: Kinetic models of granular media ; product Wasserstein space ; 35F25 ; 35D30 ; gradient flows AMS Subject Classifications: 35Q70<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>23]<\/td>\nJean-David Benamou, Guillaume Carlier, and Nicolas Bonne. An Augmented Lagrangian Numerical approach to solving Mean-Fields Games. Research report, December 2013. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: Mean field games ; Augmented Lagrangian ; Douglas Rachford<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>24]<\/td>\nSimone Di\u00a0Marino, B\u00a0Maury, and Filippo Santambrogio. Measure sweeping processes. working paper or preprint, December 2015. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: Rotor Router Model ; Wasserstein distance ; Optimal transportation ; Sweeping process ; Subdifferential ; Differential inclusion<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>25]<\/td>\nBruno Bouchard, Dylan Possama\u00ef, Xiaolu Tan, and Chao Zhou. A unified approach to a priori estimates for supersolutions of BSDEs in general filtrations. Annales de l’Institut Henri Poincar\u00e9<\/em>, September 2016. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: reflected backward SDE ; Backward SDE ; supersolution ; Doob-Meyer decomposition<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>26]<\/td>\nHugo Lavenant and Filippo Santambrogio. Optimal density evolution with congestion: L infinity bounds via flow interchange techniques and applications to variational Mean Field Games. working paper or preprint, May 2017. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/td>\n<\/tr>\n
[<\/a>27]<\/td>\nYves Achdou and Alessio Porretta. Convergence of a finite difference scheme to weak solutions of the system of partial differential equation arising in mean field games. working paper or preprint, March 2015. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: finite difference schemes ; 9108 ; 91A23 ; 49L25 ; Mean field games ; 65M012 ; convergence AMS subject classifications 65M06<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>28]<\/td>\nYves Achdou and Alessio Porretta. MEAN FIELD GAMES WITH CONGESTION. working paper or preprint, June 2017. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/td>\n<\/tr>\n
[<\/a>29]<\/td>\nYves Achdou, Martino Bardi, and Marco Cirant. MEAN FIELD GAMES MODELS OF SEGREGATION. working paper or preprint, December 2016. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: segregation ; finite difference methods ; Mean Field Games ; multi-populations models ; large populations limit ; sys- ; systems of parabolic equations ; 49N70 ; 35K55<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>30]<\/td>\nSylvain Faure and Bertrand Maury. Crowd motion from the granular standpoint. Mathematical Models and Methods in Applied Sciences<\/em>, 2015. [\u00a0bib<\/a>\u00a0| DOI<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/td>\n<\/tr>\n
[<\/a>31]<\/td>\nRoman Andreev. Wavelet-in-time multigrid-in-space preconditioning of parabolic evolution equations. SIAM Journal on Scientific Computing<\/em>, January 2016. [\u00a0bib<\/a>\u00a0| DOI<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: discretization ; parabolic ; space-time ; preconditioning ; wavelet ; multigrid<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>32]<\/td>\nBruno Bouchard, Dylan Possama\u00ef, and Xiaolu Tan. A general Doob-Meyer-Mertens decomposition for g-supermartingale systems. Electronic Journal of Probability<\/em>, 21(36), 2016. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: Backward stochastic differential equations MSC Classification (2010): 60H99 ; Doob-Meyer decomposition ; Non-linear expectations<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>33]<\/td>\nThomas\u00a0O Gallou\u00ebt and Quentin M\u00e9rigot. A Lagrangian scheme for the incompressible Euler equation using optimal transport. working paper or preprint, June 2016. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/td>\n<\/tr>\n
[<\/a>34]<\/td>\nJean-David Benamou, Guillaume Carlier, and Maxime Laborde. An augmented Lagrangian approach to Wasserstein gradient flows and applications. working paper or preprint, December 2015. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: Benamou-Brenier formulation ; augmented Lagrangian ; non-linear diffusion ; granular media ; systems ; crowd motions ; Wasserstein gradi-ent flows ; semi-implicit JKO scheme MS Classification 2010: 49M29 ; 65M60<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>35]<\/td>\nJean-David Benamou and Guillaume Carlier. Augmented Lagrangian methods for transport optimization, Mean-Field Games and degenerate PDEs. working paper or preprint, October 2014. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: Augmented Lagrangian ; Optimal Transport ; Monge Problem ; Mean-Field Games ; degenerate elliptic PDEs<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>36]<\/td>\nMartial Agueh and Guillaume Carlier. Vers un th\u00e9or\u00e8me de la limite centrale dans l’espace de Wasserstein ? working paper or preprint, December 2016. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/td>\n<\/tr>\n
[<\/a>37]<\/td>\nGuillaume Carlier and Xavier Dupuis. An iterated projection approach to variational problems under generalized convexity constraints. working paper or preprint, December 2015. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: Principal-agent problem ; b-convexity constraint ; convexity constraint ; convex envelopes ; iterated projections ; Dykstra’s algorithm Mathematics subject classification: 49M25 ; 65K15 ; 90C25<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>38]<\/td>\nJean-David Benamou, Guillaume Carlier, and Filippo Santambrogio. Variational Mean Field Games. working paper or preprint, March 2016. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/td>\n<\/tr>\n
[<\/a>39]<\/td>\nBertrand Maury. Grains de foules, 2017. Texte \u00e0 destination de math\u00e9maticiens non sp\u00e9cialistes du sujet, sur la prise en compte de la congestion dans les mod\u00e8les microscopiques et macroscopiques de mouvements de foules. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: Mouvements de foules ; inclusions diff\u00e9rentielles ; processus de raffle ; transport optimal ; sph\u00e8res dures<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>40]<\/td>\nRoman Andreev and Kristin Kirchner. Numerical methods for the 2nd moment of stochastic ODEs. working paper or preprint, November 2016. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: Petrov-Galerkin discretizations ; Stochastic ordinary differential equations ; additive noise ; multiplicative noise ; variational problems ; Hilbert tensor product ; projective and injective tensor product<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>41]<\/td>\nRoman Andreev. Preconditioning the augmented Lagrangian method for instationary mean field games with diffusion. working paper or preprint, May 2017. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: multigrid ; b-splines ; preconditioning ; space-time ; discretization ; mean field games ; augmented Lagrangian ; ALG2 ; ADMM<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>42]<\/td>\nRoman Andreev. Algorithm based fault tolerance with wavelets. working paper or preprint, September 2016. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: algorithm based ; fault tolerance ; wavelets ; partial differential equations ; parallel computation<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>43]<\/td>\nGuillaume Carlier, Adam Oberman, and Edouard Oudet. Numerical methods for matching for teams and Wasserstein barycenters. ESAIM: Mathematical Modelling and Numerical Analysis<\/em>, 49(6):1621-1642, November 2015. [\u00a0bib<\/a>\u00a0| DOI<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/td>\n<\/tr>\n
[<\/a>44]<\/td>\nJean-David Benamou, Guillaume Carlier, Marco Cuturi, Luca Nenna, and Gabriel Peyr\u00e9. Iterative Bregman Projections for Regularized Transportation Problems. SIAM Journal on Scientific Computing<\/em>, 2(37):A1111-A1138, 2015. [\u00a0bib<\/a>\u00a0| DOI<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: Wasserstein barycenters ; entropy ; Optimal transport ; Bregman projection ; Kulback-Leibler divergence<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>45]<\/td>\nCl\u00e9ment Canc\u00e8s, Thomas Gallou\u00ebt, and Leonard Monsaingeon. Incompressible immiscible multiphase flows in porous media: a variational approach. working paper or preprint, 2016. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: minimizing movement scheme ; constrained par-abolic system ; Multiphase porous media flows ; Wasserstein gradient flows<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>46]<\/td>\nVincent Calvez and Thomas\u00a0O. Gallou\u00ebt. Blow-up phenomena for gradient flows of discrete homogeneous functionals. working paper or preprint, 2016. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: discrete homogeneous functionals ; dichotomy theorem ; degenerate Keller-Segel equations ; drift diffusion equations ; Blow up<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>47]<\/td>\nYves Achdou, Salom\u00e9 Oudet, and Nicoletta Tchou. Asymptotic behavior of Hamilton-Jacobi equations defined on two domains separated by an oscillatory interface. working paper or preprint, July 2015. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/td>\n<\/tr>\n
[<\/a>48]<\/td>\nYves Achdou, Pierre-Noel Giraud, Jean-Michel Lasry, and Pierre-Louis Lions. A Long-Term Mathematical Model for Mining Industries. Applied Mathematics and Optimization<\/em>, December 2016. [\u00a0bib<\/a>\u00a0| DOI<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: Heterogeneous agents model ; Mean field games ; Master equation ; Hamilton Jacobi equations ; Viscosity solution ; Model calibration<\/p><\/blockquote>\n<\/td>\n<\/tr>\n

[<\/a>49]<\/td>\nMathieu Fabre, Sylvain Faure, Mathieu Lauri\u00e8re, Bertrand Maury, and Charlotte Perrin. NON CLASSICAL SOLUTION OF A CONSERVATION LAW ARISING IN VEHICULAR TRAFFIC MODELLING *. ESAIM: Proceedings<\/em>, 2016. [\u00a0bib<\/a>\u00a0| http<\/a>\u00a0| .pdf<\/a>\u00a0]<\/p>\n

Keywords: Traffic Flow Modeling ; Entropic Solutions ; Nonclassical Shocks<\/p><\/blockquote>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

[1] Jean-David Benamou, Adam Oberman, and Froese Britanny. Numerical solution of the second boundary value problem for the Elliptic Monge-Amp\u00e8re equation. Research report, INRIA, June 2012. [\u00a0bib\u00a0| http\u00a0| .pdf\u00a0] Keywords: Optimal Transportation ; Monge-Amp\u00e9re Equation [2] Guillaume Carlier and Lina Mallozzi. Optimal monopoly pricing with congestion and random utility via partial mass transport. working paper … <\/p>\n

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