Blowup classification for the three-dimensional energy-critical nonlinear heat equation
数学专题报告
报告题目(Title)：Blowup classification for the three-dimensional energy-critical nonlinear heat equation
报告人(Speaker)：Van Tien Nguyen (National Taiwan University)
地点(Place)：Zoom ID：937 7346 9392, PWD: 977902
时间(Time)：2024 年 9月 6日 9：30—10：30
邀请人(Inviter)：熊金钢
报告摘要
Advanced mathematical techniques have been developed in the last two decades for rigorous constructions of blowup solutions within the class of finite energy. However, the question of a complete classification of blowup dynamics remains open. In this talk, we consider the energy-critical nonlinear heat equation in $\mathbb{R}^3$ as a model example to illustrate our technique to archive such a blowup classification. It consists of two parts: 1) a review of different techniques for constructing finite-energy blowup solutions, and 2) a rigidity result of the finite-energy blowup.
* This PDE seminar is co-organized with Tianling Jin at HKUST and Juncheng Wei at CUHK. See the seminar webpage: https://www.math.hkust.edu.hk/~tianlingjin/PDEseminar.html
