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

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

PDF, English
Download (268Kb) | Terms of use

Citation of documents: Please do not cite the URL that is displayed in your browser location input, instead use the persistent URL or the URN below, as we can guarantee their long-time accessibility.

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 Deposited:	30 Apr 2008 14:08
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