Seminar | October 17 | 3:40-5 p.m. | 891 Evans Hall
Albert Ai, UC Berkeley
In this talk we will introduce the gravity water waves equations, which describe the motion of a fluid influenced by gravity, under a free interface with a vacuum. We will discuss various formulations of the problem, and in particular a paradifferential reduction due to Alazard, Burq, and Zuily. From this formulation we can exhibit the dispersive properties of the water waves system by establishing Strichartz estimates.