4 citations · 4 across the 3 of their papers we have counts for
4 papers
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…
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…
Effective transmission conditions for Hamilton-Jacobi equations defined on two domains separated by an oscillatory interface
Yves Achdou, Salomé Oudet, Nicoletta Tchou
We consider a family of optimal control problems in the plane with dynamics and running costs possibly discontinuous across an oscillatory interface . The oscillations of the…
Mean field type control with congestion
Yves Achdou, Mathieu Lauriere
We analyze some systems of partial differential equations arising in the theory of mean field type control with congestion effects. We look for weak solutions. Our main result is t…