Suppression of blow-up in 3-D Keller-Segel system with fractional diffusion via Couette flow in whole space

Shijin Deng, Binbin Shi, Weike Wang +1

In this paper, we consider a Keller-Segel model with a fractional diffusion term in ${\mathbb{R}}^3$ in the background of a Couette flow. We show that when the background Couette flo…