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SUMMARY:John Toland (University of Bath)
DTSTART:20200922T190000Z
DTEND:20200922T200000Z
DTSTAMP:20260423T021248Z
UID:ONEPAS/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ONEPAS/2/">V
 ariational aspects of steady irrotational water wave theory</a>\nby John T
 oland (University of Bath) as part of Online Northeast PDE and Analysis Se
 minar\n\n\nAbstract\nAmong the many modern approaches to abstract nonlinea
 r problems\, those based on the implicit function theorem\, real-analytic 
 function theory\, Nash-Moser theory and topological degree theory have mad
 e significant contributions to water-wave theory in recent years. However\
 , the same cannot be said of variational methods (min/max\, mountain-pass\
 , Morse index\, Lyusternik-Schnirelman genus etc) even though\, when the v
 iscosity of water is ignored and the flow is assumed to be irrotational\, 
 there are several attractive ways to formulate the equations of wave motio
 n variationally. On the 100th anniversary of the first proof that the equa
 tions of motion have non-zero\, small-amplitude solutions\, this talk will
  briefly survey these issues and advocate variational methods for analyzin
 g water waves that are 2π-periodic in space.\n
LOCATION:https://researchseminars.org/talk/ONEPAS/2/
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