京师数学前沿论坛 第四十八讲
京师数学前沿论坛
报告题目(Title)：Stability of Peakons for the Camassa-Holm-type Equations on the Half-Line
报告人(Speaker)：屈长征 教授（宁波大学）
地点(Place)：后主楼1124
时间(Time)：2026年10月22日16:00-17:00
报告摘要
In recent years, investigations into the dynamical behavior of solutions to integrable systems on the half-space have attracted considerable attention. The integrable structure of integrable systems on the half-space suffers from broken symmetry, and several essential conserved quantities are no longer preserved, which poses substantial difficulties for the analysis. A large body of work exists concerning the dynamical behavior of solutions and the stability of soliton solutions for classical integrable equations on the half-line, such as the KdV and NLS equations. In this talk, we focus on the qualitative properties of peakon solutions to the Camassa-Holm-type equation on the half-line. We develop efficient methods to overcome the difficulties arising from the broken symmetry and non-conservative structure of the equations. This is a joint work with Dr. Cheng He and Prof. Ze Li.
主讲人简介
屈长征教授，宁波大学数学与统计学院教授、学术院长，浙江省特级专家，国家杰出青年科学基金获得者，享受国务院政府特殊津贴。现任中国数学会常务理事、浙江省数学会副理事长、宁波市数学会理事长。曾担任第八、九届数学天元基金学术领导小组成员。主要从事可积系统的几何与可积结构、非线性数学物理方程的不变量、几何性质、解的稳定性及奇性等方向的研究工作。其研究工作先后获得国家杰出青年科学基金、国家自然科学基金重点项目及面上项目等多项国家级项目资助。成果曾荣获陕西省科技进步一等奖、二等奖，浙江省自然科学二等奖，以及国家教委科技进步奖等多项科研奖励。目前担任《Stud. Appl. Math.》《Comm. Pure Appl. Anal.》《J. Phys. A: Math. Theor.》等国际知名学术期刊编委，同时兼任《纯粹数学和应用数学》副主编、《Sci. China Math.》客座编委。
