Hyperbolic conservation laws arising in the study of the forward-forward Mean-Field Games

Series: 
PDE Seminar
Thursday, October 11, 2018 - 3:00pm
1 hour (actually 50 minutes)
Location: 
Skiles 005
,  
African Institute for Mathematical Sciences, Tanzania
Organizer: 
In this talk, we introduce several models of the so-called forward-forward Mean-Field Games (MFGs). The  forward-forward models arise in the study of  numerical schemes to approximate stationary MFGs. We establish a link between these models and a class of hyperbolic conservation laws. Furthermore, we investigate the existence of solutions and examine long-time limit properties. Joint work with Diogo Gomes and Levon Nurbekyan.