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
9 papers · 2 filters
A study of common noise in mean field games
Charles Meynard, Charles Bertucci
This paper is concerned with the study of mean field games master equations involving an additional variable modelling common noise. We address cases in which the dynamics of this…
Convergence of a discrete selection-mutation model with exponentially decaying mutation kernel to a Hamilton-Jacobi equation
Anouar Jeddi
In this paper we derive a constrained Hamilton-Jacobi equation with obstacle from a discrete non-linear integro-differential model of population dynamics, with exponentially decayi…
An approximation of the squared Wasserstein distance and an application to Hamilton-Jacobi equations
Charles Bertucci, Pierre Louis Lions
We provide a simple approximation of the squared Wasserstein distance on R^d when one of the two measures is fixed. This approximation converges locally uniformly. More i…
A charged liquid drop model with Willmore energy
Michael Goldman, Matteo Novaga, Berardo Ruffini
We consider a variational model of electrified liquid drops, involving competition between surface tension and charge repulsion. Since the natural model happens to be ill-posed, we…
Curvature in chemotaxis: A model for ant trail pattern formation
Charles Bertucci, Matthias Rakotomalala, Milica Tomasevic
In this paper, we propose a new model of chemotaxis motivated by ant trail pattern formation, formulated as a coupled parabolic-parabolic local PDE system, for the population densi…
A holographic uniqueness theorem for the two-dimensional Helmholtz equation
Arjun Nair, Roman Novikov
We consider a plane wave, a radiation solution, and the sum of these solutions (total solution) for the Helmholtz equation in an exterior region in . We consider a str…