Global Regularity for Water Waves
Speaker: Fabio Pusateri, Princeton University
Location: Warren Weaver Hall 1302
Date: Thursday, March 24, 2016, 11 a.m.
We will begin by introducing the water waves equations and discuss some of the works done in recent years on the question of global regularity. We will then present our main result, joint with Deng, Ionescu and Pausader, about global existence of smooth solutions for the 3D gravity-capillary water waves system in infinite depth. The main difficulties in this problem are the slow decay of linear solutions and the presence of a large set of resonant interactions.