报告题目：Enhanced dissipation and blow-up suppression for the three dimensional Keller-Segel equation with a non-shear incompressible flow  

报 告 人：史斌斌博士后

报告摘要：In this talk, we study the Cauchy problem for the three dimensional parabolic-elliptic Keller-Segel equation with a large non-shear incompressible flow. Without advection, there exist solution with arbitrarily mass which blow up in finite time. Firstly, we introduce a three dimensional non-shear incompressible flow and study the enhanced dissipation effect of such flows by resolvent estimate method. Next, we show that the enhanced dissipation effect of  such flows can suppress blow-up of solution to three dimensional parabolic-elliptic Keller-Segel equation and establish global classical solution with large initial data.

报告人简介：史斌斌，博士毕业于上海交通大学，现为南京理工大学博士后，主要从事流体力学和生物数学有关的偏微分方程适定性研究。

报告时间：2023年12月22日10：00-12：00

报告地点：#腾讯会议：378-405-400

联 系 人：王金环