Blow-up in a chemotaxis model without symmetry assumptions

Blow-up in a chemotaxis model without symmetry assumptions

In this paper we prove the existence of solutions of the Keller–Segel model in chemotaxis, which blow up in finite or infinite time. This is done without assuming any symmetry properties of the solution.

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Veröffentlicht in:European journal of applied mathematics 2001-04, Vol.12 (2), p.159-177
Hauptverfasser: HORSTMANN, DIRK, WANG, GUOFANG
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
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Zusammenfassung:In this paper we prove the existence of solutions of the Keller–Segel model in chemotaxis, which blow up in finite or infinite time. This is done without assuming any symmetry properties of the solution.
ISSN:0956-7925
1469-4425
DOI:10.1017/S0956792501004363