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

Abstract：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.

Date：14:30pm-16:30pm 2022-5-26（Thursday）.

Speaker：Guilong Gui，Xiangtan University, Professor.

Venue: Tencent Meeting，ID： 362-480-324

Organizer：School of Mathematical Science

Students and teachers are welcome.