学术活动

Long-time behavior of global solutions to the 1-equivariant harmonic map heat flow and the energy critical heat equations

2023-08-20 11:31

报告人: 张启迪

报告人单位: 英属哥伦比亚大学

时间: 2023年8月23日上午10:00-11:00

地点: 腾讯会议ID 495-108-459

开始时间: 2023年8月23日上午10:00-11:00

报告人简介: 博士

年:

日月:

Profile decomposition is an intriguing phenomenon for the energy critical equations, like harmonic map heat flow in $R^2$ and energy critical heat equations. It is a natural question to ask which configuration of bubbles is possible in the decomposition. Inspired by the formal analysis of Fila-King for the critical heat equations, we construct global solutions for the harmonic map heat flow in the 1-equivariant class and the energy critical heat equations. This is also related to the behavior of threshold solutions. This talk is based on several work joint with Juncheng Wei, Yifu Zhou, and Zaizheng Li.


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