Analysis Seminar

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Water Waves with Time-Dependent and Deformable Angled Crests (or Corners)

Speaker: Steve Shkoller, UC Davis

Location: Warren Weaver Hall 1314

Date: Tuesday, April 23, 2019, 11 a.m.

Synopsis:

I will describe a new set of estimates for the 2d water waves problem, in which the free surface has an angled crest (or corner) with a time-dependent angle that changes with the evolution of the water wave, and with a corner vertex that can move in all directions.   There are no symmetry constraints on the crest,  and the fluid can have bulk vorticity.   This is joint work with D. Coutand.