688 citations
- Université Paris Dauphine-PSLFR48 papers
- Centre National de la Recherche ScientifiqueFR29 papers
- Centre de Recherche en Économie et StatistiqueFR10 papers
- Université Paris CitéFR9 papers
- Laboratoire de Mathématiques Blaise PascalFR7 papers
- Institut national de recherche en sciences et technologies du numériqueFR6 papers
- CERMICSFR5 papers
- Georgia Institute of TechnologyUS5 papers
- Analyse, Géométrie et ModélisationFR4 papers
- CY Cergy Paris UniversitéFR4 papers
- Département de mathématiques et applicationsFR4 papers
- Institut Montpelliérain Alexander GrothendieckFR4 papers
6 papers · 2 filters
About existence, symmetry and symmetry breaking for extremal functions of some interpolation functional inequalities
Jean Dolbeault, Maria J. Esteban
This article is devoted to a review of some recent results on existence, symmetry and symmetry breaking of optimal functions for Caffarelli-Kohn-Nirenberg (CKN) and weighted logari…
Smooth type II blow up solutions to the four dimensional energy critical wave equation
Matthieu Hillairet, Pierre Raphaël
We exhibit type II blow up solutions to the focusing energy critical wave equation in dimension . These solutions admit near blow up time a decomposiiton…
Hôlder continuity of solutions of second-order non-linear elliptic integro-differential equations
Guy Barles, Emmanuel Chasseigne, Cyril Imbert
This paper is concerned with Hölder regularity of viscosity solutions of second-order, fully non-linear elliptic integro-differential equations. Our results rely on two key ingredi…
Hypocoercivity for linear kinetic equations conserving mass
Jean Dolbeault, Clément Mouhot, Christian Schmeiser
We develop a new method for proving hypocoercivity for a large class of linear kinetic equations with only one conservation law. Local mass conservation is assumed at the level of…
Thin Film Equations with Soluble Surfactant and Gravity: Modeling and Stability of Steady States
Joachim Escher, Matthieu Hillairet, Philippe Laurençot +1
A thin film on a horizontal solid substrate and coated with a soluble surfactant is considered. The governing degenerate parabolic equations for the film height and the surfactant…
A macroscopic crowd motion model of gradient flow type
Bertrand Maury, Aude Roudneff-Chupin, Filippo Santambrogio
A simple model to handle the flow of people in emergency evacuation situations is considered: at every point x, the velocity U(x) that individuals at x would like to realize is giv…