2-6 September 2019
Institut de Mathématiques de Bourgogne
Europe/Paris timezone

The stability of periodic solutions of the focusing NLS equation

3 Sep 2019, 14:30
30m
Amphi Bernard ()

Amphi Bernard

Speaker

Bernard Deconinck (University of Washington)

Description

A surprisingly large number of physically relevant dispersive partial differential equations are integrable. Using the connection between the spectrum and the eigenfunctions of the associated Lax pair and the linear stability problem, we investigate the stability of the spatially periodic traveling wave solutions of such equations, extending the results to orbital stability in those case where solutions are linearly stable. The talk will emphasize recent results for the focusing NLS equation, as this situation is more complicated than that of other equations previously studied, for which the Lax pair is self adjoint.

Primary author

Bernard Deconinck (University of Washington)

Presentation Materials