Speaker：Shizhong Du（Shantou University）

Time：2021-12-23 15:00

Location：Tencent Meeting ID：822607942（No Password）

Abstract:

This talk will present some new results for the singular forming patterns of harmonic 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.