學術報告

報告人：劉躍  教授 (美國University of Texas at Arlington)

報告人簡介：劉躍現為美國德克薩斯大學阿靈頓分校數學系的正教授，1994年博士畢業于美國布朗大學應用數學系，師從國際著名數學家Walter Strauss教授。劉躍教授是目前國際上偏微分方程研究尤其是淺水波領域的一流專家，他的研究興趣在非線性波解的适定性、穩定性、長時間性态以及數值計算等。迄今劉躍教授已在CPAM, ARMA, CMP, Adv. Math, J. Reine Angew. Math., JMPA, JFA, CPDE, Math.Ann., Math.Z., TAMS, SIAM-JMA, JDE等國際著名刊物上發表論文90餘篇。

題目：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.

報告時間：2016年6月12日（星期日）上午10：30---11：30

報告地點：科技樓南樓702