3D gravity water waves with vorticity
Speaker: Daniel Ginsberg, Princeton University
Location: Warren Weaver Hall 1302
Date: Thursday, February 6, 2020, 11 a.m.
We consider the long-time behavior of the 3D gravity water
waves problem with nonzero vorticity and prove that sufficiently smooth
and well-localized solutions cannot blow up before a time which is
determined only by the size of the initial vorticity. The proof relies
on the method of spacetime resonances as developed by
Germain-Masmoudi-Shatah, combined with a careful analysis of the
vorticity. This is joint work with Fabio Pusateri.