报告题目：Asymptotic analysis on the modelling of the shallow－water waves
报告人：桂贵龙 教授 （湘潭大学）
会议时间：2022／05／12 13：45－15：45
腾讯会议ID：128556522
报告摘要：We describe in this talk the asymptotic perturbation method to derive some nonlocal shallow－water model equations in the context of full water waves． Starting from the incompressible and irrotational governing equations in the three－dimensional water waves， we show that such a equation arises in the modeling of the propagation of shallow water waves over a flat bed． These resulting equations capture stronger nonlinear effects than the classical dispersive integrable equations like the Korteweg－de Vries and Kadomtsev－Petviashvili equations． We also address some properties of these model equations and how it relates to the surface wave．
报告人简介：
桂贵龙，基础数学专业博士，湘潭大学数学与计算科学学院教授，博士生导师。2010年毕业于中国科学院数学与系统科学研究院数学研究所。2011年获第十届中国数学会钟家庆数学奖。主要研究流体力学方程组的数学理论，论文发表在CPAM， CMP， ARMA， Adv． Math．， CPDE， JMPA， JFA等国际数学杂志。
