Directly to content
  1. Publishing |
  2. Search |
  3. Browse |
  4. Recent items rss |
  5. Open Access |
  6. Jur. Issues |
  7. DeutschClear Cookie - decide language by browser settings

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

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

[thumbnail of ksv_math_annalen.pdf]
Preview
PDF, English
Download (274kB) | Terms of use

Citation of documents: Please do not cite the URL that is displayed in your browser location input, instead use the DOI, URN or the persistent URL 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.

Document type: Preprint
Series Name: IWR-Preprints
Date Deposited: 30 Apr 2008 14:08
Date: 2008
Faculties / Institutes: The Faculty of Mathematics and Computer Science > Institut für Mathematik
Service facilities > Interdisciplinary Center for Scientific Computing
DDC-classification: 510 Mathematics
Uncontrolled Keywords: chemotaxis , global solutions , blowup , non-diffusive memory
About | FAQ | Contact | Imprint |
OA-LogoDINI certificate 2013Logo der Open-Archives-Initiative