Stable blow-up dynamic for the parabolic-parabolic Patlak-Keller-Segel model

Abstract

We consider the parabolic-parabolic two-dimensional Patlak-Keller-Segel problem. We prove the existence of stable blow-up dynamics in finite time in the radial case. We extend in this article the result of [36] for the parabolic-elliptic case.

82 pages

References in corpus (1)

• Stable blow up dynamics for the 1-corotational energy critical harmonic heat flow

Cited by in corpus (1)

• A hybrid variational principle for the Keller-Segel system in ${\mathbb{R}}^2$