报告题目： Asymptotic Model Equations Arising in Shallow Water Theory

报告时间： 2018年6月16日，星期六，上午，10:00-11:00

报告地点： 数学与统计学院理科楼112会议室

报告人：刘跃（Yue Liu）教授，美国University of Texas at Arlington 数学系

报告摘要：

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.

报告人简介：

刘跃 (Yue Liu) 教授在美国德克萨斯大学阿灵顿分校数学系任职，美国布朗大学应用数学系博士毕业，师从国际著名数学家Walter Strauss教授。刘跃 (Yue Liu) 教授主要研究兴趣在非线性波解的适定型、稳定性、长时间性态以及数值计算等，在CPAM, ARMA, CMP, Adv. Math., JMPA, JFA, CPDE, Math. Ann., Math. Z., TAMS, SIMA. MA. 等国际著名刊物上发表论文90余篇。