Kang, Kyungkeun ; Stevens, Angela ; 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 |
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| 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 |
