Speaker: Wang Kelei, Professor, School of Mathematics and Statistics, Wuhan University

Date: Mar 3, 2022

Time: 14:30-15:30

Location: Tencent Meeting, ID: 251 366 776

Sponsor: Research Center for Mathematics and Interdisciplinary Sciences, Shandong University

Research Center for Nonlinear Expectation

Abstract:

In this talk, I will discuss the finite time blow up problem for nonlinear heat equation in the critical Sobolev exponent case. Here the blow up of solutions is caused by the formation of bubbles, which is a typical energy concentration phenomenon. In order to give a precise description of blow up profiles and blow up rates, we need to perform a refined blow up analysis of this energy concentration phenomenon. I will discuss some tools used in this analysis, including a reverse version of the Lyapunov-Schmidt reduction method and the inner-outer gluing method of Del Pino et. al. (also used in a reverse manner). This is a joint work with Juncheng Wei.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/162451.htm