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 Geometric Analysis & Partial Differential Equations seminar series.

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