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Two dimensional gravity waves at low regularity

PDE and Applied Math Seminar

Speaker: Albert Ai, UW Madison
Related Webpage: http://www.math.wisc.edu/~aai/
Location: ZOOM
Start time: Thu, Apr 30 2020, 4:30PM

In this talk, we will consider the low regularity well-posedness problem for the two dimensional gravity water waves. This quasilinear dispersive system admits an interesting structure which we exploit to prove a new class of energy estimates, which we call balanced cubic estimates. This yields a key improvement over the earlier energy estimates of Hunter-Ifrim-Tataru. These results allow us to significantly lower the regularity threshold for local well-posedness, even without using dispersive properties. This is joint work with Mihaela Ifrim and Daniel Tataru.

Join the meeting at https://ucdavisdss.zoom.us/j/97261764100?pwd=SjExMzZMc0lkZWJJZFo2UkIxMG5Edz09

Email Annalaura Stingo for password.