Analysis Seminar

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3D gravity water waves with vorticity

Speaker: Daniel Ginsberg, Princeton University

Location: Warren Weaver Hall 1302

Date: Thursday, February 6, 2020, 11 a.m.

Synopsis:

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.