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Blow-up in a chemotaxis model without symmetry assumptions

Published online by Cambridge University Press:  15 June 2001

DIRK HORSTMANN  and
GUOFANG WANG
DIRK HORSTMANN
Affiliation:
Mathematisches Institut der Universität zu Köln, D - 50931 Köln, Germany
GUOFANG WANG
Affiliation:
Institute of Mathematics, Academic Sinica, Beijing, China
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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.

Information

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 12 , Issue 2 , April 2001 , pp. 159 - 177
Copyright
2001 Cambridge University Press