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math.AP2017★ 4 cited
Homogenization of a transmission problem with Hamilton-Jacobi equations and a two-scale interface. Effective transmission conditions
Yves Achdou, Nicoletta Tchou
We consider a family of optimal control problems in the plane with dynamics and running costs possibly discontinuous across a two-scale oscillatory interface. Typically, the amplit…
math.AP2017
Mean field games with congestion
Yves Achdou, Alessio Porretta
We consider a class of systems of time dependent partial differential equations which arise in mean field type models with congestion. The systems couple a backward viscous Hamilto…