On the Stability of Type II Blowup for the Keller-Segel System in High Dimensions

Thomas Y. Hou, Xiang Qin, Peicong Song +1

We study finite-time blowup for the parabolic--elliptic Keller--Segel system on ${\mathbb{R}}^d$ in dimensions $d\ge 11$, where the problem is mass supercritical. For every integer $…