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20152022
most citedHomogenization of a transmission problem with Hamilton-Jacobi equations and a two-scale interface. Effective transmission conditions

4 citations · 5 across the 6 of their papers we have counts for

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math.AP2015

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…

math.AP2015

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…