报告题目:Finite-time singularity formation for the heat flow of the H-system and related problems
报 告 人:郑有泉 教授 (天津大学)
报告时间:2024年4月13日(星期六) 9:00-10:00
报告地点:必赢3003am114(小报告厅)
校内联系人:代国伟 教授 联系电话:84708351-8502
报告摘要:In this talk, I will discuss the construction of finite time blow-up solutions for the heat flow of the H-system, describing the evolution of surfaces with constant mean curvature. The singularity at finite time forms as a scaled least energy H-bubble, exhibiting type II blow-up speed. We also prove the non-degeneracy of the H-bubbles with any degree. These are joint works with Yannick Sire, Juncheng Wei and Yifu Zhou.
报告人简介:郑有泉,2011年博士毕业于南开大学,现为天津大学数学学院教授;主要研究领域为非线性椭圆与抛物型偏微分方程,担任面上项目、青年基金项目,教育部博士点基金项目主持人;主要研究结果发表在AJM, Math. Ann., JDE, JFA, CVPDE等期刊上