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SUMMARY:Modulation equations revisited - Sylvie Benzoni-Gavage (Universit
 é Claude Bernard Lyon 1)
DTSTART:20220715T080000Z
DTEND:20220715T090000Z
UID:TALK175895@talks.cam.ac.uk
DESCRIPTION:Modulation theory as set up by Whitham in the early 1970s has 
 been used for decades to study dispersive wave trains. Yet it remains root
 ed in algebraic arguments that are valid only for some completely integrab
 le PDEs\, and its rigorous justification remains an open problem for most 
 equations. Asymptotic analysis sheds new light on modulation equations in 
 the limiting regimes of harmonic waves\, and of solitonic waves. This will
  be explained in a setting that encompasses an example that is familiar to
  the audience\, namely the nonlinear Schr&ouml\;dinger equation.
LOCATION:Seminar Room 1\, Newton Institute
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