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

Time: Tue, Dec.20, 2016, AM 10:30-11:30

Speaker:Prof. Yue Liu (University of Texas at Arlington )

Location:Room 4131, Building No.4, Wushan Campus

Abstract: 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.