Stability of the critical constant steady state of a Keller--Segel model

Nobuhito Miyake, Hiroshi Wakui, Tetsuya Yamada

In this paper, we prove the asymptotic stability of the critical constant steady state for a simplified parabolic--elliptic Keller--Segel system in ${\mathbb{R}}^N$ ($N\ge 3$), whic…