汇报标题 (Title)： Global solution of 3-D Keller-Segel model with Couette flow in whole space
（三维全空间带有Couette流的Keller-Segel方程解的整体存在性）
汇报人 (Speaker)： 王维克教授（上海交通大学）
汇报功夫 (Time)：2025年11月7日（周五）14:00
汇报地址 (Place)：校本部GJ303
约请人(Inviter)：王宇澄
主办部门：理学院数学系
汇报提要：We introduce both parabolic-elliptic Keller-Segel model and parabolic-parabolic Keller-Segel model in the background of a Couette flow with spatial variables in R^3. It is proved that for both parabolic-elliptic and parabolic-parabolic cases, a Couette flow with a sufficiently large amplitude prevents the blow-up of solutions. Here, we apply Green’s function method to capture the suppression of blow-up and prove the global existence of the solutions.
