425 citations
- École PolytechniqueFR315 papers
- Centre National de la Recherche ScientifiqueFR74 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR17 papers
- Université Paris-SaclayFR16 papers
- Centre de Recherche en Mathématiques de la DécisionFR15 papers
- Institut national de recherche en sciences et technologies du numériqueFR15 papers
- Laboratoire de Mathématiques Blaise PascalFR14 papers
- Sorbonne UniversitéFR14 papers
- Université Paris NanterreFR13 papers
- Institut Universitaire de FranceFR12 papers
- Laboratoire de Mathématiques d'OrsayFR12 papers
- Laboratoire de Probabilités, Statistique et ModélisationFR11 papers
5 papers · 2 filters
Long-time correlations for a hard-sphere gas at equilibrium
Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond +1
It has been known since Lanford [19] that the dynamics of a hard sphere gas is described in the low density limit by the Boltzmann equation, at least for short times. The classical…
Weak Solutions for Potential Mean Field Games of Controls
Jameson Graber, Alan Mullenix, Laurent Pfeiffer
We analyze a system of partial differential equations that model a potential mean field game of controls, briefly MFGC. Such a game describes the interaction of infinitely many neg…
Monotone solutions for mean field games master equations : finite state space and optimal stopping
Charles Bertucci
We present a new notion of solution for mean field games master equations. This notion allows us to work with solutions which are merely continuous. We prove first results of uniqu…
Qualitative indicator functions for imaging crack networks using acoustic waves
Lorenzo Audibert, Lucas Chesnel, Houssem Haddar +1
We consider the problem of imaging a crack network embedded in some homogeneous background from measured multi-static far field data generated by acoustic plane waves. We propose t…
Surface waves in a channel with thin tunnels and wells at the bottom: non-reflecting underwater tomography
Lucas Chesnel, Sergei A. Nazarov, Jari Taskinen
We consider the propagation of surface water waves in a straight planar channel perturbed at the bottom by several thin curved tunnels and wells. We propose a method to construct n…