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SUMMARY:Nonlocal Formulations\, Inverse Problems\, &amp\; Conservation Law
 s for Water Waves - Katie Oliveras (Seattle University)
DTSTART:20220825T100000Z
DTEND:20220825T110000Z
UID:TALK177548@talks.cam.ac.uk
DESCRIPTION:We consider a nonlocal formulation of the water-wave problem f
 or a free surface with an irrotational flow\, and show how the problem can
  be reduced to a single equation for the interface. The formulation is als
 o extended to include constant vorticity and interfacial flows of differen
 t density fluids. We show how this formulation can be used to address vari
 ous inverse problems related to water waves\, and systematically derive Ol
 ver&rsquo\;s conservation in terms of boundary variables. This framework e
 asily lends itself to computing the related conservation laws for various 
 asymptotic models.
LOCATION:Seminar Room 2\, Newton Institute
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