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Dynamic formulations of optimal transportation and variational MFGs

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Authors : Benamou, Jean-David (Author of the conference)
CIRM (Publisher )

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Abstract : I will review several relaxations of the classical Monge Optimal Transport problem using a dynamic “time” extension and discuss the corresponding available numerical methods. They also apply to some instances of variational mean field games.

MSC Codes :
35J70 - Degenerate elliptic equations
49M25 - Discrete approximations in calculus of variations
49Q20 - Variational problems in a geometric measure-theoretic setting
65M60 - Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (IVP of PDE)
35J96 - Elliptic Monge-Ampère equations

Additional resources :
http://smai.emath.fr/cemracs/cemracs17/Slides/benamou.pdf

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 31/07/17
    Conference Date : 20/07/17
    Subseries : Research School
    arXiv category : Optimization and Control ; Numerical Analysis ; Analysis of PDEs
    Mathematical Area(s) : Control Theory & Optimization ; PDE ; Numerical Analysis & Scientific Computing
    Format : MP4 (.mp4) - HD
    Video Time : 01:02:50
    Targeted Audience : Researchers ; Graduate Students
    Download : https://videos.cirm-math.fr/2017-07-20_Benamou.mp4

Information on the Event

Event Title : CEMRACS - Summer school: Numerical methods for stochastic models: control, uncertainty quantification, mean-field / CEMRACS - École d'été : Méthodes numériques pour équations stochastiques : contrôle, incertitude, champ moyen
Event Organizers : Bouchard, Bruno ; Chassagneux, Jean-François ; Delarue, François ; Gobet, Emmanuel ; Lelong, Jérôme
Dates : 17/07/17 - 25/08/17
Event Year : 2017
Event URL : http://conferences.cirm-math.fr/1556.html

Citation Data

DOI : 10.24350/CIRM.V.19200903
Cite this video as: Benamou, Jean-David (2017). Dynamic formulations of optimal transportation and variational MFGs. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19200903
URI : http://dx.doi.org/10.24350/CIRM.V.19200903

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