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SEMINARS
Nonlocal Model Equations Arising in Shallow Water Theory
时间  Datetime
2018-05-23 15:00 — 16:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Liu,Yue
单位  Affiliation
University of Texas, Arlington
邀请人  Host
Yang, Xiongfeng
报告摘要  Abstract

The study of water waves has a long history starting from Euler in 1752, and continues to be a very active area to the present day. Mathematically, the water wave equations describe the motion of water bounded above by a free surface. This free surface is subject to a constant (atmospheric) pressure, while gravity acts as an external force.

In this talk, I will start by demonstrating the underlying complexity of the physical system,  and then I will  discuss possible simplifications in the "shallow water" regime along with the relevant physical phenomena. In particular, I will focus on the singularity formation of the Cauchy problem for the simplified nonlocal shallow-water models, such as Camassa-Holm-type equations in 1D and 2D cases.