Asymptotic stability of solitons in 1D dispersive problems

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• Pierre Germain (Imperial College London)
• Monday 06 March 2023, 14:00-15:00
• CMS, MR13.

If you have a question about this talk, please contact Daniel Boutros.

By asymptotic stability of a soliton, the following is meant: for data sufficiently close to the soliton, the solution decomposes into soliton + (decaying) radiation. I will show how asymptotic stability can be obtained for the soliton of mKdV and NLS , as well as the kink of the Phi4 model. A key idea is to take advantage of nonlinear resonances. This is based on articles with Charles Collot, Fabio Pusateri, and Frederic Rousset.

This talk is part of the Partial Differential Equations seminar series.

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