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 |
