##### Department of Mathematics,

University of California San Diego

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### Math 248 - Analysis Seminar

## Steve Shkoller

#### UC Davis

## Water waves with time-dependent and deformable angled crests (or corners)

##### Abstract:

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.

Host: Tarek Elgindi

### June 6, 2019

### 11:00 AM

### AP&M 7321

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