Blow-up in a chemotaxis model without symmetry assumptions

DIRK HORSTMANN; GUOFANG WANG

doi:10.1017/S0956792501004363

Abstract

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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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Blow-up in a chemotaxis model without symmetry assumptions

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