Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	苏庆堂博士，University of Southern California
Inviter:
Title:	Long time behavior of 2d water waves
Time & Venue:	2021.09.17 09:00-10:00 南楼N219室
Abstract:	腾讯会议：874 326 514 In this talk, we will talk about the long time behavior of the two dimensional water waves. In the first part we discuss the long time existence of water waves with concentrated vorticity. We show that the water waves with small initial slope and velocity, coupled with a pair of counter-rotating point vortices which travels downward, remains small and smooth for a long time. In the second part we discuss the NLS approximation of the water waves. In particular, I will discuss the rigorous justification of the Peregrine soliton and the nonlinear instability of the Stokes waves.