报告主题:关于带科里奥利效应的浅水波模型的渐近分析
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)8:30
报告地点:校本部G508
邀请人:张成老师
主办部门:永利数学系
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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