报告主题：来自于水波理论的Camassa-Holm-KP模型
报告人： Yue Liu 教授 (美国 University of Texas at Arlington)
报告时间：2017年1月11日（周三）11:00
报告地点：校本部G508
邀请人：张大军
主办部门：理学院数学系
报告摘要：In this talk I will describe the asymptotic perturbation method to derive a two-dimensional Camassa-Holm-Kadomtsev-Petviashvili-type equation 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. The resulting equation is a two dimensional Camassa-Holm equation with weakly transverse effect for the horizontal velocity component. The equation captures stronger nonlinear effects than the classical dispersive integrable equations like the Korteweg-de Vries and Kadomtsev-Petviashvili equations. We also address some properties of the this model equation and how it relates to the surface wave.

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