澳门新葡新京,澳门新葡新京官方网站

Stability of peakons of the shallow water modeling with cubic nonlinearity

澳门新葡新京:万宏艳发布时间:2019-12-25浏览次数:10

Title:Stability of peakons of the shallow water modeling with cubic nonlinearity
Speaker:Liu Yue,University of Texas Arlington TX
 
Time:12-25  9:40-10:40
Place:Room 1418, School of Mathematical Sciences, Management Research Building, East Campus
 
Abstract:In this talk, I will start by demonstrating the underlying complexity of the physical system,and then I will discuss possible simplifications in the shallow water regime along with the relevant physical phenomena. In particular, I will derive some simplified nonlocal shallow-water models with cubic nonlinearity, such as integrable Novikov and Modified Camassa-Holm-type equations. It is shown these approximating model equations possess a single peaked soliton and multi-peakon solutions. Finally I will prove the single peaked soliton is orbitally stable in the energy space.


XML 地图 | Sitemap 地图