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【明理讲坛】数学中心“非线性偏微分方程”学术报告
发布时间:2022-05-10【告诉好友】 【关闭窗口】

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。

      
      
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