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

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

DOI: http://dx.doi.org/10.12775/TMNA.2006.005

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.

Keywords


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

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