题目：Stability of peakons of the shallow water modeling with cubic nonlinearity

报告人：Liu Yue，University of Texas Arlington TX

时间：12月25日（周三）上午9:40-10:40

地点：东区管理科研楼1418室

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.

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