Lecture on "Stability of Smooth Solitary Wave of the Degasperis-Procesi and the Modified Camassa-Holm Equation"

September 5, 2024

Speaker: Ji Li, professor, Huazhong University of Science and Technology

Date: September 5, 2024

Time: 10:00-11:00

Location: Tencent Meeting: 768 881 929

Sponsor: School of Mathematics, Shandong University

Abstract:

We first review some aspects of soliton for the KdV equation. Then we introduce a class of quasilinear shallow water equations: Camassa-Holm (CH), Degasperis-Procesi (DP), and the modified Camassa-Holm (mCH). We explain how their solitons could be proved stable by Lyapunov functional methods or by Variational method. We also give a first result on global wellposedness of the mCH equation.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/194567.htm