Stability of multi-solitons for the Benjamin-Ono equation

主 讲 人 ：王忠    副教授

活动时间：12月22日09时00分    

地      点 ：腾讯会议：301-819-223

讲座内容：

In this talk, we report our work concerning stability of the multi-solitons of the Benjamin-Ono equation. By constructing a suitable Lyapunov functional, it is found that the multi-solitons are non-isolated constrained minimizers satisfying a suitable variational nonlocal elliptic equation, the stability issue is reduced to the spectral analysis of higher order nonlocal operators. The BO equation is more likely a two dimensional integrable system, its recursion operator is not explicit. The existence and uniqueness of multi-pole type solutions will be also presented for mass subcritical and supercritical cases.  If time permits, I will discuss also some applications in showing the stability of multi-solitons for ILW equation.

主讲人介绍：

王忠，男，现为佛山大学副教授，硕士生导师，科学研究部副部长。中山大学基础数学专业博士，法国巴黎综合理工学院、图卢兹第三大学和意大利国际理论物理中心（ICTP)访问学者。研究方向为数学物理，主要研究非线性色散方程解的动力学行为和孤立子理论。现为美国《数学评论》评论员，广东省自然科学基金通讯评审专家。已主持青年科学基金项目1项，广东省自然科学基金面上项目2项和教育部科研项目2项。在CVPDE、Nonlinearity、JDE、Physica D和中国科学数学等期刊发表学术论文十余篇。是JLMS，JDE、Physica D、JPA和JMP等十余个数学物理期刊的审稿专家。

发布时间：2024-12-19 16:29:30