678 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- École Normale Supérieure - PSLFR647 papers
- Centre National de la Recherche ScientifiqueFR243 papers
- Université Paris Sciences et LettresFR162 papers
- Centre de Recherche en Mathématiques de la DécisionFR56 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR55 papers
- Laboratoire de Mathématiques d'OrsayFR53 papers
- Sorbonne UniversitéFR49 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR45 papers
- Université Paris CitéFR42 papers
- Université Paris Dauphine-PSLFR34 papers
- Université Pierre-et-Marie-CurieFR33 papers
- Laboratoire Jacques-Louis LionsFR31 papers
18 papers · 2 filters
Restriction and spectral multiplier theorems on asymptotically conic manifolds
Colin Guillarmou, Andrew Hassell, Adam Sikora
The classical Stein-Tomas restriction theorem is equivalent to the statement that the spectral measure of the square root of the Laplacian on $\RR^n$ is bounded from $L^p(\…
On the three-dimensional finite Larmor radius approximation: the case of electrons in a fixed background of ions
Daniel Han-Kwan
This paper is concerned with the analysis of a mathematical model arising in plasma physics, more specifically in fusion research. It directly follows \cite{DHK1}, where the tri-di…
L^1 averaging lemma for transport equations with Lipschitz force fields
Daniel Han-Kwan
The purpose of this note is to extend the averaging lemma of Golse and Saint-Raymond \cite{GolSR} to the case of a kinetic transport equation with a force field $F(x)\in W^{1…
On the propagation of oceanic waves driven by a strong macroscopic flow
Isabelle Gallagher, Thierry Paul, Laure Saint-Raymond
In this work we study oceanic waves in a shallow water flow subject to strong wind forcing and rotation, and linearized around a inhomogeneous (non zonal) stationary profile. This…
Resolvent at low energy III: the spectral measure
Colin Guillarmou, Andrew Hassell, Adam Sikora
Let be a complete noncompact manifold and an asymptotically conic Riemaniann metric on , in the sense that compactifies to a manifold with boundary…
Effective boundary condition at a rough surface starting from a slip condition
Anne-Laure Dalibard, David Gérard-Varet
We consider the homogenization of the Navier-Stokes equation, set in a channel with a rough boundary, of small amplitude and wavelength . It was shown recently that, for any non…
Boussinesq/Boussinesq systems for internal waves with a free surface, and the KdV approximation
Vincent Duchene
We study here some asymptotic models for the propagation of internal and surface waves in a two-fluid system. We focus on the so-called long wave regime for one dimensional waves,…
The incompressible Euler limit of the Boltzmann equation for a gas of fermions
Thibaut Allemand
We are interested in the hydrodynamic limit of the Boltzmann equation for a gas of fermions in the incompressible Euler regime. We use the relative entropy method as improved by Sa…
Mathematics for 2d Interfaces
Claude Bardos, David Lannes
We present here a survey of recent results concerning the mathematical analysis of instabilities of the interface between two incompressible, non viscous, fluids of constant densit…
Wave operator bounds for 1-dimensional Schrödinger operators with singular potentials and applications
Vincent Duchêne, Jeremy L. Marzuola, Michael I. Weinstein
Boundedness of wave operators for Schrödinger operators in one space dimension for a class of singular potentials, admitting finitely many Dirac delta distributions, is proved. App…
A stability criterion for two-fluid interfaces and applications
David Lannes
We derive here a new stability criterion for two-fluid interfaces. This criterion ensures the existence of "stable" local solutions that do no break down too fast due to Kelvin-Hel…
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…
Semiclassical and spectral analysis of oceanic waves
Christophe Cheverry, Isabelle Gallagher, Thierry Paul +1
In this work we prove that the shallow water flow, subject to strong wind forcing and linearized around an adequate stationary profile, develops for large times closed trajectories…
Inverse scattering at fixed energy on surfaces with Euclidean ends
Colin Guillarmou, Mikko Salo, Leo Tzou
On a fixed Riemann surface with Euclidean ends and genus , we show that, under a topological condition, the scattering matrix $S_V(\la)$ at frequency $\la > 0$ f…
Quasineutral limit of the Vlasov-Poisson system with massless electrons
Daniel Han-Kwan
In this paper, we study the quasineutral limit (in other words the limit when the Debye length tends to zero) of Vlasov-Poisson like equations describing the behaviour of ions in a…
Strong phase-space semiclassical asymptotics
Agissilaos Athanassoulis, Thierry Paul
Wigner and Husimi transforms have long been used for the phase-space reformulation of Schrödinger-type equations, and the study of the corresponding semiclassical limits. Most of t…
Quantitative uniform in time chaos propagation for Boltzmann collision processes
Stéphane Mischler, Clément Mouhot
This paper is devoted to the study of mean-field limit for systems of indistinguables particles undergoing collision processes. As formulated by Kac \cite{Kac1956} this limit is ba…
Existence and uniqueness of minimal blow up solutions to an inhomogeneous mass critical NLS
Pierre Raphael, Jeremie Szeftel
We consider the 2-dimensional focusing mass critical NLS with an inhomogeneous nonlinearity: . From standard argument, there exists a threshold $M_k…