Recent progress on semi-linear wave equations on $\mathbb{R}^{3+1}$
发布时间：2017年10月16日
浏览次数：6658
发布者: Ningbo Lu
主讲人： Jianwei Yang （BICMR）
活动时间： 从 2017-10-18 10:00 到 11:30
场地： 北京国际数学研究中心，全斋全29教室
Recent progress on semi-linear wave equations on $\mathbb{R}^{3+1}$
(after the authors Grillakis, Kenig, Merle, Duyckaerts ....)
Abstract:
In the past 30 years or so, there has been considerable interest in the study of nonlinear wave equations, especially on the long-time dynamics for the solutions with large initial data, such as the scattering theory, blow-up phenomena, etc., culminating the celebrated settlement of the "soliton resolution conjecture" for energy critical nonlinear wave equation in spherical symmetric variables. In this talk, we will briefly recall these results and several recent progress, focusing on the energy sub-critical and supercritical nonlinear growth. In particular, I will present a work that I did in collaboration with Thomas Duyckaerts with some of the details of the proof included.
(after the authors Grillakis, Kenig, Merle, Duyckaerts ....)
Abstract:
In the past 30 years or so, there has been considerable interest in the study of nonlinear wave equations, especially on the long-time dynamics for the solutions with large initial data, such as the scattering theory, blow-up phenomena, etc., culminating the celebrated settlement of the "soliton resolution conjecture" for energy critical nonlinear wave equation in spherical symmetric variables. In this talk, we will briefly recall these results and several recent progress, focusing on the energy sub-critical and supercritical nonlinear growth. In particular, I will present a work that I did in collaboration with Thomas Duyckaerts with some of the details of the proof included.
