Asymptotic stability of peaked travelling waves for Camassa-Holm type equations.

30 January 2020
12:00
José Manuel Palacios
Abstract

The Camassa-Holm (CH) equation is a nonlinear nonlocal dispersive equation which arises as a model for the propagation of unidirectional shallow water waves over a flat bottom. One of the most important features of the CH equation is the existence of peaked travelling waves, also called peakons. The aim of this talk is to review some asymptotic stability result for peakon solutions for CH-type equations as well as to present some new result for higher-order generalization of the CH equation.

  • PDE CDT Lunchtime Seminar