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陈 功 博士:Long-time dynamics of the modified KdV equation

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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker: 陈 功 博士,University of Tornoto
Inviter:
Title:
Long-time dynamics of the modified KdV equation
Time & Venue:
2019.12.25 09:20-10:20 C410
Abstract:
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.

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