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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
MiS Preprint
67/1999Blowup in a chemotaxis model without symmetry assumptions
Dirk Horstmann and Guofang WangAbstract
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.
- Received:
- 26.11.99
- Published:
- 26.11.99
- MSC Codes:
- 35J25, 35J60, 35K20, 35K55, 35K57, 49R99, 92B05, 92D25
- Keywords:
- chemotaxis, keller-segel model, blowup, nonlocal nonlinear elliptic boudary value problems, neumann problem, pohozaev's identity
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