The $8\pi$-problem for radially symmetric solutions of a chemotaxis model in a disc

Authors

  • Piotr Cezary Biler
  • Grzegorz Karch
  • Philippe Laurençot
  • Tadeusz Nadzieja

Keywords

Chemotaxis system, critical mass, blow up in infinite time, convergence to steady states

Abstract

We study the properties and the large time asymptotics of radially symmetric solutions of a chemotaxis system in a disc of ${\mathbb R}^2$ when the parameter is either critical and equal to $8\pi$ or subcritical.

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Published

2006-03-01

How to Cite

1.
BILER, Piotr Cezary, KARCH, Grzegorz, LAURENÇOT, Philippe and NADZIEJA, Tadeusz. The $8\pi$-problem for radially symmetric solutions of a chemotaxis model in a disc. Topological Methods in Nonlinear Analysis. Online. 1 March 2006. Vol. 27, no. 1, pp. 133 - 147. [Accessed 1 July 2025].

Issue

Vol 27, No 1 (March 2006)

Section

Articles

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