Water Waves with Time-Dependent and Deformable Angled Crests (or Corners)
Water Waves with Time-Dependent and Deformable Angled Crests (or Corners)
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Steve Shkoller (UC Davis)
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.