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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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12 papers · 1 filter

math.AP2022

Homogenization of some periodic Hamilton-Jacobi equations with defects

Yves Achdou, Claude Le Bris

We study homogenization for a class of stationnary Hamilton-Jacobi equations in which the Hamiltonian is obtained by perturbing near the origin an otherwise periodic Hamiltonian. W…

math.AP2022

Simulating numerically the Krusell-Smith model with neural networks

Yves Achdou, Jean-Michel Lasry, Pierre Louis Lions

The celebrated Krusel-Smith growth model is an important example of a Mean Field Game with a common noise. The Mean Field Game is encoded in the master equation, a partial differen…

math.AP2021

Deterministic mean field games with control on the acceleration and state constraints

Yves Achdou, Paola Mannucci, Claudio Marchi +1

We consider deterministic mean field games in which the agents control their acceleration and are constrained to remain in a domain of R n. We study relaxed equilibria in the Lagra…

math.AP2020

Mean Field Games of Controls: Finite Difference Approximations

Y Achdou, Z Kobeissi

We consider a class of mean field games in which the agents interact through both their states and controls, and we focus on situations in which a generic agent tries to adjust her…

math.AP2020

A class of short-term models for the oil industry addressing speculative storage

Yves Achdou, Charles Bertucci, Jean-Michel Lasry +3

This is a work in progress. The aim is to propose a plausible mechanism for the short term dynamics of the oil market based on the interaction of economic agents. This is a theoret…

math.AP2019

Deterministic mean field games with control on the acceleration

Yves Achdou, Paola Mannucci, Claudio Marchi +1

In the present work, we study deterministic mean field games (MFGs) with finite time horizon in which the dynamics of a generic agent is controlled by the acceleration. They are de…