3 papers
math.OC2025
Deterministic Mean Field Games on Networks and Related Optimal Control Problems
Yves Achdou, Claudio Marchi, Nicoletta Tchou
We study a class of deterministic mean field games and related optimal control problems, with a finite time horizon and in which the state space is a network. An agent controls her…
math.OC2025
State Constrained Optimal Control Problems With Control On The Acceleration. Applications To Kinetic Mean Field Games
Yves Achdou
Relying on the careful study of a related problem in the calculus of variations, we study a class of optimal control problems in which the control lies on the acceleration, with st…
math.AP2024
Homogenization of Hamilton-Jacobi equations with defects leading to stratified problems
Yves Achdou, Le Bris Claude
We study homogenization of a class of bidimensional stationary Hamilton-Jacobi equations where the Hamiltonian is obtained by perturbing near a half-line of the state space a Hamil…