Professor Zhaoyang Yin:On a two dimensional nonlocal shallow-water model
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Professor Zhaoyang Yin, Sun Yat-sen University
Inviter:
Associate Professor Xiangke Chang
Title:
On a two dimensional nonlocal shallow-water model
Language:
Chinese
Time & Venue:
2023.03.24 15:30-16:30 N202
Abstract:
In this talk, we first review some related progresses on one dimensional shallow water models. Then we introduce the derivation of a new nonlocal shallow water model from the 3D Euler system with free boundary conditions. Next, we present local well-posed results and several blow-up results. Finally, we state several open problems.