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

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.

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

#### Full Text:

FULL TEXT### Refbacks

- There are currently no refbacks.