209 citations
- École PolytechniqueFR391 papers
- Centre National de la Recherche ScientifiqueFR196 papers
- Université Paris-SaclayFR42 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR37 papers
- Laboratoire Jacques-Louis LionsFR29 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR19 papers
- Centre de Recherche en Mathématiques de la DécisionFR17 papers
- Sorbonne UniversitéFR17 papers
- Laboratoire de Mathématiques d'OrsayFR15 papers
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- École Normale Supérieure - PSLFR12 papers
162 papers · 1 filter
Global well-posedness of a 2D fluid-structure interaction problem with free surface
Thomas Alazard, Chengyang Shao, Haocheng Yang
This paper is devoted to the analysis of the incompressible Euler equation in a time-dependent fluid domain, whose interface evolution is governed by the law of linear elasticity.…
The Navier-Stokes limit of kinetic equations for low regularity data
Kleber Carrapatoso, Isabelle Gallagher, Isabelle Tristani
In this paper, we investigate the link between kinetic equations (including Boltzmann with or without cutoff assumption and Landau equations) and the incompressible Navier-Stokes e…
Semi-classical limit of the massive Klein-Gordon-Maxwell system toward the relativistic Euler-Maxwell system via an adapted modulated energy method
Tony Salvi
We show that the momentum, the density, and the electromagnetic field associated with the massive KleinGordon-Maxwell equations converge in the semi-classical limit towards their r…
Nonlinear interpolation and the flow map for quasilinear equations
Thomas Alazard, Nicolas Burq, Mihaela Ifrim +2
We prove an interpolation theorem for nonlinear functionals defined on scales of Banach spaces that generalize Besov spaces. It applies to functionals defined only locally, requiri…
Paracomposition Operators and Paradifferential Reducibility
Thomas Alazard, Chengyang Shao
Reducibility methods, aiming to simplify systems by conjugating them to those with constant coefficients, are crucial for studying the existence of quasiperiodic solutions. In KAM…
The Landau equation in a domain
Kleber Carrapatoso, Stéphane Mischler
This work deals with the Landau equation in a bounded domain with the Maxwell reflection condition on the boundary for any (possibly smoothly position dependent) accommodation coef…