报告题目：Global existence and finite time blow-up for the heat flow of H-system with constant mean curvature

报告人：方飞 副教授

报告时间：3月12日下午16:00-16:30

报告地点：腾讯会议ID：995 746 818

报告人简介： 方飞，4556银河国际在线，副教授。2013年博士毕业于厦门大学。主要研究方向为非线性偏微分方程。目前发表学术论文20多篇，全部被SCI收录。

报告摘要：

In this talk, we use the modified potential well method to study the long time behaviors of solutions to the heat flow of H-system in a bounded smooth domain of $R^2$. Global existence and finite time blowup of solutions are proved when the initial energy is in three cases. When the initial energy is low or critical, we not only give a threshold result for  the global existence and blowup of solutions, but also obtain the decay rate of the $L^2$ norm for global solutions. When the initial energy is high, sufficient conditions for the global existence and blowup of solutions are also provided. We extend the recent results which were obtained in [T. Huang, Z, Tan, C.Y. Wang,  Manuscripta Math,2011].