报告主题：一些来自于水波的拟线性方程的爆破解
报告人： 刘跃 教授（美国 University of Texas at Arlington ）
报告时间：2016年6月24日（周五）9:30
报告地点：校本部G508
邀请人：张成老师
主办部门：8455新葡萄场网站数学系
报告摘要： 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.
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