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On the stability of critical chemotactic aggregation

Analysis of PDEs 2012-09-13 v1

Abstract

We consider the two dimensional parabolic-elliptic Patlak-Keller-Segel model of chemotactic aggregation for radially symmetric initial data. We show the existence of a stable mechanism of singularity formation and obtain a complete description of the associated aggregation process.

Keywords

Cite

@article{arxiv.1209.2517,
  title  = {On the stability of critical chemotactic aggregation},
  author = {Pierre Raphael and Remi Schweyer},
  journal= {arXiv preprint arXiv:1209.2517},
  year   = {2012}
}

Comments

80 pages