Suppression of blow-up in 3-D Keller-Segel model via Couette flow in whole space

Shijin Deng, Binbin Shi, Weike Wang

In this paper, we study the 3-D parabolic-parabolic and parabolic-elliptic Keller-Segel models with Couette flow in ${\mathbb{R}}^3$. We prove that the blow-up phenomenon of solution…