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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:
Apr 21, 2008
Published:
May 6, 2008

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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