175 citations
- Centre National de la Recherche ScientifiqueFR13 papers
- Laboratoire Paul PainlevéFR13 papers
- Laboratoire de Physique des PlasmasFR3 papers
- Case Western Reserve UniversityUS2 papers
- École Centrale de LilleFR2 papers
- Institut d'électronique de microélectronique et de nanotechnologieFR2 papers
- Institut national de recherche en sciences et technologies du numériqueFR2 papers
- Laboratoire de Mathématiques Blaise PascalFR2 papers
- Laboratoire de Physique des Lasers, Atomes et MoléculesFR2 papers
- Laboratoire d'Informatique Fondamentale de LilleFR2 papers
- Lyon 1 UniversitéFR2 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR1 paper
6 papers · 1 filter
Transverse nonlinear instability for two-dimensional dispersive models
F. Rousset, N. Tzvetkov
We present a method to prove nonlinear instability of solitary waves in dispersive models. Two examples are analyzed: we prove the nonlinear long time instability of the KdV solita…
On global Strichartz estimates for non trapping metrics
Jean-Marc Bouclet, Nikolay Tzvetkov
We prove global Strichartz estimates (with spectral cutoff on the low frequencies) for non trapping metric perturbations of the Schroedinger equation, posed on the Euclidean space.
Ergodic properties of geometrical crystallization processes, I
Y. Davydov, A. Illig
We are interested here in a birth-and-growth process where germs are born according to a Poisson point process with invariant under translation in space intensity measure. The germ…
Classical phase space singularities and quantization
Johannes Huebschmann
Simple classical mechanical systems and solution spaces of classical field theories involve singularities. In certain situations these singularities can be understood in terms of s…
Two sufficient conditions for Poisson approximations in the ferromagnetic Ising model
David Coupier
A -dimensional ferromagnetic Ising model on a lattice torus is considered. As the size of the lattice tends to infinity, two conditions ensuring a Poisson approximation for the…
Construction of a Gibbs measure associated to the periodic Benjamin-Ono equation
N. Tzvetkov
We define a finite Borel measure of Gibbs type, supported by the Sobolev spaces of negative indexes on the circle. The measure can be seen as a limit of finite dimensional measures…