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

Authors: Remi Schweyer

arXiv: 1403.4975v1 - DOI (math.AP)
82 pages

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.

Submitted to arXiv on 19 Mar. 2014

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