79 citations
- Laboratoire Paul PainlevéFR13 papers
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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…