中科院数学与系统科学研究院
数学研究所
学术报告
偏微分方程研讨班
报告人：杜式忠 教授（汕头大学）
题 目：Finite Time Blowup And Type II Rate For Harmonic Heat Flow From Riemannian Manifolds
时 间：2024.02.26（星期一）10:00-11:00
地 点：思源楼 S817
摘 要：This talk will present some new results for the singular forming patterns of hearmonic heat flow, including the phenomenon of finite time blowup and their blowup rate. More precisely, our results include three parts:
(1) The first one generalizes the famous two dimensional finite time blowup result of Chang-Ding-Ye to dimensions 3<=m<7. (2) The second one improves a blowup rate determined by Topping to a more sharper form in the two dimensional case. (3) On the third part, we also determine the blowup rate to be type I when dimension 3<=m<7, which could be regarded as a generalization of Matano-Merle's work for reaction diffusion equation to harmonic heat flow.
These works come from our new paper (arXiv:2104.00408) submit to the Journal recently.
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