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.
注:报告结束后,殷教授将做一个中山大学理学院的招聘宣讲,欢迎感兴趣的数学学科和物理学科的博士、博士后等参加。