Lecture on "Suppression of Blow-up for the 3D Patlak-Keller-Segel-Navier-Stokes System Via the Couette Flow"

December 31, 2024

Speaker: Wang Wendong, professor and doctoral supervisor, Dalian University of Technology

Date: December 31, 2024

Time: 10:00-11:00 am

Location: Tencent Meeting: 180788341

Sponsor: School of Mathematics, Shandong University

Abstract:

It is known that finite-time blow-up in the 3D Patlak-Keller-Segel system may occur for arbitrarily small values of the initial mass. It's interesting whether one can prevent the finite-time blow-up via the stabilizing effect of the moving fluid. For the 3D Patlak-Keller-Segel system coupled with Navier-Stokes system, we showed that one can prevent the finite-time blow-up via the stabilizing effect of the Couette flow $(\ Ay, 0, 0 \ )$.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/198667.htm