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.
|Faculties / Institutes:||The Faculty of Mathematics and Computer Science > Department of Applied Mathematics
Service facilities > Interdisciplinary Center for Scientific Computing
|Uncontrolled Keywords:||chemotaxis , global solutions , blowup , non-diffusive memory|