Blowup in a chemotaxis model without symmetry assumptions
Dirk Horstmann and Guofang Wang
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Submission date: 26. Nov. 1999
published in: European journal of applied mathematics, 12 (2001) 2, p. 159-177
MSC-Numbers: 35J25, 35J60, 35K20, 35K55, 35K57, 49R99, 92B05, 92D25
Keywords and phrases: chemotaxis, keller-segel model, blowup, nonlocal nonlinear elliptic boudary value problems, neumann problem, pohozaev's identity
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In this paper we prove the existence of solutions of the so-called Keller-Segel model in chemotaxis, which blow up in finite or infinite time. This is done without assuming any symmetry properties of the solution.