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.
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.