238 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Nantes UniversitéFR266 papers
- Centre National de la Recherche ScientifiqueFR187 papers
- Université de NantesFR152 papers
- École Centrale de NantesFR48 papers
- Laboratoire de Mathématiques d'OrsayFR36 papers
- Institut de recherche mathématique de RennesFR25 papers
- Institut FourierFR25 papers
- Université Paris-SudFR25 papers
- Université Paris-SaclayFR17 papers
- Institut national de recherche en sciences et technologies du numériqueFR12 papers
- Analyse, Géométrie et ModélisationFR11 papers
- Institut de Mathématiques de BordeauxFR11 papers
10 papers · 2 filters
Global hypoelliptic and symbolic estimates for the linearized Boltzmann operator without angular cutoff
Radjesvarane Alexandre, Frédéric Hérau, Wei-Xi Li
In this article we provide global subelliptic estimates for the linearized inhomogeneous Boltzmann equation without angular cutoff, and show that some global gain in the spatial di…
Dynamics of Klein-Gordon on a compact surface near an homoclinic orbit
Benoît Grébert, Tiphaine Jézéquel, Laurent Thomann
We consider the Klein-Gordon equation on a Riemannian surface which is globally well-posed in the energy space. This equation has an homoclinic orbit to the origin, and in this pap…
Dynamics on resonant clusters for the quintic non linear Schrödinger equation
Emanuele Haus, Laurent Thomann
We construct solutions to the quintic nonlinear Schrödinger equation on the circle with initial conditions supported on arbitrarily many different resonant clusters. This is a sequ…
Global infinite energy solutions for the cubic wave equation
Nicolas Burq, Laurent Thomann, Nikolay Tzvetkov
We prove the existence of infinite energy global solutions of the cubic wave equation in dimension greater than 3. The data is a typical element on the support of suitable probabil…
Beating effects in cubic Schrödinger systems and growth of Sobolev norms
Benoît Grébert, Éric Paturel, Laurent Thomann
We consider a system of coupled cubic Schrödinger equations. We prove that there exists a beating effect, i.e. an energy exchange between different modes. This construction may be…
On the global well-posedness of the 2D Euler equations for a large class of Yudovich type data
Frederic Bernicot, Sahbi Keraani
The study of the 2D Euler equation with non Lipschitzian velocity was initiated by Yudovich in [19] where a result of global well-posedness for essentially bounded vorticity is pro…
Semilinear geometric optics with boundary amplification
Jean-Francois Coulombel, Olivier Guès, Mark Williams
We study weakly stable semilinear hyperbolic boundary value problems with highly oscillatory data. Here weak stability means that exponentially growing modes are absent, but the so…
Study of degenerate parabolic system modeling the hydrogen displacement in a nuclear waste repository
Florian Caro, Bilal Saad, Mazen Saad
Our goal is the mathematical analysis of a two phase (liquid and gas) two components (water and hydrogen) system modeling the hydrogen displacement in a storage site for radioactiv…
Singular pseudodifferential calculus for wavetrains and pulses
Jean-Francois Coulombel, Olivier Guès, Mark Williams
We develop a singular pseudodifferential calculus. The symbols that we consider do not satisfy the standard decay with respect to the frequency variables. We thus adopt a strategy…
Smoothing effect for the regularized Schrödinger equation with non controlled orbits
Lassaad Aloui, Moez Khenissi, Georgi Vodev
We prove that the geometric control condition is not necessary to obtain the smoothing effect and the uniform stabilization for the strongly dissipative Schrödinger equation.