English

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

Analysis of PDEs 2014-03-21 v1

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.

Keywords

Cite

@article{arxiv.1403.4975,
  title  = {Stable blow-up dynamic for the parabolic-parabolic Patlak-Keller-Segel model},
  author = {Remi Schweyer},
  journal= {arXiv preprint arXiv:1403.4975},
  year   = {2014}
}

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82 pages