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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 (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
35/2008

Qualitative behavior of a Keller-Segel model with non-diffusive memory

Kyungkeun Kang, Angela Stevens and Juan J.L. Velazquez

Abstract

In this paper a one-dimensional Keller-Segel model with a logarithmic chemotactic-sensitivity and a non-diffusing chemical is classified with respect to its long time behavior. The strength of production of the non-diffusive chemical has a strong influence on the qualitative behavior of the system concerning existence of global solutions or Dirac-mass formation. Further, the initial data play a crucial role.

Received:
21.04.08
Published:
06.05.08

Related publications

inJournal
2010 Repository Open Access
Kyungkeun Kang, Angela Stevens and Juan J. L. Velázquez

Qualitative behavior of a Keller-Segel model with non-diffusive memory

In: Communications in partial differential equations, 35 (2010) 2, pp. 245-274