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SUMMARY:Stability of traveling water waves with a point vortex - Samuel Wa
 lsh (University of Missouri)
DTSTART:20170810T080000Z
DTEND:20170810T090000Z
UID:TALK75321@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span> 			 				 					In this talk\, we will present recent res
 ults on the (conditional) orbital stabillity of two-dimensional steady cap
 illary-gravity water waves with a point vortex. One can think of these wav
 es as an idealization of traveling waves with compactly supported vorticit
 y. The governing equations have a Hamiltonian formulation\, and the waves 
 themselves can be realized as minimizers of an energy subject to fixed mom
 entum.  					We are able to deduce stability by using an abstract framewor
 k that generalizes the classical work of Grillakis\, Shatah\, and Strauss.
  In particular\, our theory applies to systems where the sympletic operato
 r is state dependent and may fail to be surjective.  					This is joint wo
 rk with Kristoffer Varholm and Erik Wahl&eacute\;n&nbsp\; 				 			 		</spa
 n>
LOCATION:Seminar Room 1\, Newton Institute
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