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SUMMARY:Asymptotic stability of solitons in 1D dispersive problems - Pierr
 e Germain (Imperial College London)
DTSTART:20230306T140000Z
DTEND:20230306T150000Z
UID:TALK195160@talks.cam.ac.uk
CONTACT:Daniel Boutros
DESCRIPTION: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 P
 hi4 model. A key idea is to take advantage of nonlinear resonances. This i
 s based on articles with Charles Collot\, Fabio Pusateri\, and Frederic Ro
 usset.
LOCATION:CMS\, MR13
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