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Mathematics

Blow-up in a chemotaxis model without symmetry assumptions

Dirk Horstmann, Guofang Wang

2001.4.1EUROPEAN JOURNAL OF APPLIED MATHEMATICS

DOI: 10.1017/s0956792501004363

tlooto Summary

The paper proves the existence of solutions to the Keller–Segel model without symmetry assumptions, showing that they can blow up in finite or infinite time.

Abstract

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.

Citation format

HORSTMANN, Dirk; WANG, Guofang. Blow-up in a chemotaxis model without symmetry assumptions. EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2001, 12: 159–177.