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学术报告100:郑有权 — Finite-time singularity formation for the heat flow of the H-system

时间:2024-11-23 作者: 点击数:

报告时间:2024年11月24日(星期日)9:30---10:30

报告地点:翡翠科教楼B1710

报告人:郑有权 教授

工作单位:天津大学

举办单位:金沙集团1862cc成色

报告简介:

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:

郑有权,天津大学教授,博士生导师,近年来主要从事非线性椭圆与抛物型偏微分方程理论的研究,在American Journal of Mathematics、MathematischeAnnalen,Journal of Functional Analysis, Communications in Partial Differential equations, Journal of Differential Equations等期刊上发表多篇论文,先后主持国家自然科学基金面上项、青年项目,以及教育部博士点基金项目项目。

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