报 告 人：刘跃 教授（美国德克萨斯州大学阿灵顿分校）
报告题目：Asymptotic analysis on the modelling of the shallow-water waves with the Coriolis effect
报告时间：2016年5月30日（周一）下午4:30
报告地点：静远楼204室
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. The modeling and analysis of those mathematical models then illustrate that the Coriolis forcing in the propagation of shallow-water waves can not be neglected. Indeed, the CH-approximation with the Coriolis effect captures stronger nonlinear effects than the nonlinear dispersive rotational KdV-type.