中科院数学与系统科学研究院
数学研究所
偏微分方程研讨班
报告人： 陈 功 博士 (University of Tornoto)
题 目：Long-time dynamics of the modified KdV equation
时 间：2019.12.25（星期三）, 09:20-10:20
地 点：晨兴中心410室
摘 要：Soliton resolution, roughly speaking, says that any reasonable solution to a disperive equation eventually resolves into a superposition of a radiation component plus a finite number of "nonlinear bound states" or "solitons". Combing ideas from integrable systems and PDEs, I will discuss the soliton resolution and long-time dynamics for the modified Korteweg-de vries (mKdV) equation with initial conditions in some weighted Sobolev spaces.