报告人：刘跃教授 (美国德克萨斯大学阿灵顿分校)
时 间：2020年1月10日上午 10:00-11:00
地点：华南数学应用与交叉研究中心学术报告厅111
题目： Stability of peakons of the shallow water modeling with cubic nonlinearity
摘要：
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.