Qualitative Behavior of a Keller-Segel Model with Non-Diffusive Memory

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

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Abstract

In this paper a one-dimensional Keller-Segel model with a logarithmic chemotactic-sensitiviy 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.

Item Type:	Preprint
Series Name:	IWR-Preprints
Date:	2008
Faculties / Institutes:	The Faculty of Mathematics and Computer Science > Department of Applied Mathematics Service facilities > Interdisciplinary Center for Scientific Computing
Subjects:	510 Mathematics
Uncontrolled Keywords:	chemotaxis , global solutions , blowup , non-diffusive memory