Long-time dynamics of the modified KdV equation
Dr Gong CHEN
Date & Time
17 Jan 2020 (Fri) | 10:00 AM - 11:00 AM
Venue
B5-211, Blue Zone, Level 5, Yeung Kin Man Academic Building (AC1), CityU
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.