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ORBITAL STABILITY OF SOLITONS FOR A CLASS OF QUASILINEAR SHALLOW WATER EQUATIONS

发布时间:2022-12-15 浏览量:73

时   间:  2022-12-15 14:00 — 15:00

地   点:  腾讯会议 APP()
报告人:  李骥
单   位:  华中科技大学
邀请人:  王楷植
备   注:  ID: 699-541-607
报告摘要:  

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.