学术报告

报告人：刘跃  教授 (美国University of Texas at Arlington)

报告人简介：刘跃现为美国德克萨斯大学阿灵顿分校数学系的正教授，1994年博士毕业于美国布朗大学应用数学系，师从国际著名数学家Walter Strauss教授。刘跃教授是目前国际上偏微分方程研究尤其是浅水波领域的一流专家，他的研究兴趣在非线性波解的适定性、稳定性、长时间性态以及数值计算等。迄今刘跃教授已在CPAM, ARMA, CMP, Adv. Math, J. Reine Angew. Math., JMPA, JFA, CPDE, Math.Ann., Math.Z., TAMS, SIAM-JMA, JDE等国际著名刊物上发表论文90余篇。

题目：Asymptotic analysis on the modelling of the shallow-water waves with the Coriolis effect

摘要：In this talk,  I start by formally deriving the simplified phenomenological models of long-crested shallow-water waves propagating in the equatorial ocean regions with the Coriolis effect due to the Earth's rotation. These new model equations are analogous to the Green-Naghdi equations, the first-order approximations of the KdV-, BBM- or improved-Boussinesq-type, respectively. I then justify rigorously that in the long-wave limit, unidirectional solutions of a class of KdV- or BBM-type are well approximated by the solutions of the Camassa-Holm equation with the Coriolis effect.

报告时间：2016年6月12日（星期日）上午10：30---11：30

报告地点：科技楼南楼702