报告题目：All about peakons
报 告 人：Stephen Anco 教授 (Brock University，Canada )
报告时间：2025年05月6日 （星期二）16:00开始
报告地点：色情论坛-老司机论坛-福利论坛
9号楼113报告厅
报告摘要：
Peakons are peaked travelling waves which arise as solutions of the integrable Camassa-Holm equation in water wave theory discovered 30 years ago. In the explosion of work on peakons following that discovery, several basic questions have been asked about the nature of peakons - What is the most general class of nonlinear dispersive wave equations possessing peakon solutions? Is integrability necessary for existence of multi-peakon solutions? Are peakons best understood as weak solutions or distributional solutions? Does the NLS equation have a peakon counterpart? How to find integrable peakon equations systematically?
In this talk, I will review some of my contributions to understanding and attempting to answer these questions over the past decade, which have led to some unexpected and on-going new developments.
报告人简介：
Stephen Anco 教授，加拿大Brock 大学教授。 本科毕业于加州理工学院， 博士毕业于芝加哥大学， 之后，在加拿大不列颠哥伦比亚大学做博士后研究。主要从事微分方程的对称群和可积系统等方面的研究。在微分方程的守恒律、对称性、可积几何流以及具尖峰孤子解方程的可积性和分析方面发表了系列高水平成果，发表在CPDE， PRL， LMP, Stud. Appl. Math.， Proc. A. 等国际著名杂志上。他与著名学者G. Bluman教授一起出版了多部专著。 曾担任Brock 大学数学系主任。 现为Euro. J. Appl. Math., J. Nonlin.Math. Phys.等杂志编委。
