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苏庆堂 博士:Long time behavior of 2d water waves

本站小编 Free考研考试/2021-12-26


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N204室 腾讯会议：874 326 514
Abstract:
 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.

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