一、报告题目

Refined blow up analysis for critical nonlinear heat equation

二、主讲人

王克磊

三、报告时间

2022年3月3日 14：30 — 15：30

四、报告地点

腾讯会议ID : 251 366 776

五、摘要

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.

六、主讲人简介

王克磊，武汉大学数学学院教授，博士生导师，国家级青年人才项目获得者。主要从事偏微分方程的研究，在Comm. Pure. Appl. Math.，J. Euro. Math. Soc., Adv. Math., Arch. Ration. Mech. Anal., J. Reine Angew. Math., Tran. Amer. Math. Soc., J. Funct. Anal.等国际期刊上发表论文40余篇。

七、主办单位

非线性期望前沿科学中心

数学与交叉科学研究中心