ORBITAL STABILITY OF SOLITONS FOR A CLASS OF QUASILINEAR SHALLOW WATER EQUATIONS
2022年10月14日 14:00-15:00
稿件来源：李骥 教授
发布人：叶海霞
发布日期：2022-10-14
讲座时间 Datetime: 2022年10月14日，星期五，14:00-15:00
地点 Venue: 腾讯线上会议：310-766-272
主持人 Host：刘长剑
报告人 Speaker: 李骥
单位 Affiliation: 华中科技大学
报告摘要 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. We explain how their solitons could be proved stable by Lyapunov functional methods or by Variational method. We also explain how the Lyapunov functional method could be localized to prove multi-soliton stability for the DP case.
