Analysis Seminar

Gravity water waves and emerging bottom

Speaker: Thibault de Poyferre, U. C. Berkeley

Location: Warren Weaver Hall 1302

Date: Thursday, May 3, 2018, 11 a.m.

Synopsis:

To understand the behavior of waves at a fluid surface in
configurations where the surface and the bottom meet (islands,
beaches...), one encounters a difficulty : the presence in the bulk of the
fluid of an edge, at the triple line. To solve the Cauchy problem, we need to study
elliptic regularity in such domains, understand the linearized operator
around an arbitrary solution, and construct an appropriate procedure to
quasi-linearize the equations. Using those tools, I will present some a
priori estimates, a first step to a local existence result.