79 citations
- Laboratoire Paul PainlevéFR13 papers
- Centre National de la Recherche ScientifiqueFR12 papers
- Laboratoire de Physique des PlasmasFR3 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
- Case Western Reserve UniversityUS1 paper
- Computer Science Laboratory of Lille1 paper
Showing 2006 · math.APShow all
3 papers · 2 filters
math.AP2006
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…
math.AP2006★ 2 cited
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.
math.AP2006
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…