Orbital stability of solutions for a class of quasilinear shallow water equations

发布时间:2022年09月08日 作者:杨蕊   阅读次数:[]

报告题目:Orbital stability of solutions for a class of quasilinear shallow water equations

报告人:华中科技大学李骥教授

报告时间:2022年9月13日15:00-16:40

报告地点:腾讯会议738879530

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.

报告人简介:李骥,华中科技大学数学与统计学院教授,博士生导师,2008年本科毕业于南开大学数学试点班,2012年在美国杨伯翰大学取得博士学位,后在明尼苏达大学和密西根州立大学做博士后。主要研究几何奇异摄动理论及应用,以及浅水波孤立子稳定性问题。在包括TAMS , JMPA,JFA,AnnPDE,JDE,PhyD等杂志发表论文近三十篇。



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