Geodesic
On the one-dimensional mean-field games with congestion
Mathematica Applicanda, Tome 50 (2022) no. 1, pp. 139-151.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

In this work, we consider a one dimensional forward-forward model of Mean-field Games with congestion. We establish a connection between such models and conservation laws. Next, we show the existence of a non trivial convex entropies. Finally, we investigate the existence of solutions in the parabolic case and derived some estimates thanks to the existence of such convex entropies.
DOI : 10.14708/ma.v50i1.7136
Mots-clés : Mean field games, conservation laws, Hamilton Jacobi, transport equations 
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Marc Sedjro. On the one-dimensional mean-field games with congestion. Mathematica Applicanda, Tome 50 (2022) no. 1, pp.  139-151. doi : 10.14708/ma.v50i1.7136. http://geodesic.mathdoc.fr/articles/10.14708/ma.v50i1.7136/

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