MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( 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

Blowup in a chemotaxis model without symmetry assumptions

Dirk Horstmann and Guofang Wang


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.

MSC Codes:
35J25, 35J60, 35K20, 35K55, 35K57, 49R99, 92B05, 92D25
chemotaxis, keller-segel model, blowup, nonlocal nonlinear elliptic boudary value problems, neumann problem, pohozaev's identity

Related publications

2001 Repository Open Access
Dirk Horstmann and Guofang Wang

Blow-up in a chemotaxis model without symmetry assumptions

In: European journal of applied mathematics, 12 (2001) 2, pp. 159-177