Qualitative behavior of a Keller-Segel model with non-diffusive memory
In this paper a one-dimensional Keller-Segel model with a logarithmic chemotactic-sensitivity 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 c...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
28 Jan 2010
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| In: |
Communications in partial differential equations
Year: 2010, Volume: 35, Issue: 2, Pages: 245-274 |
| ISSN: | 1532-4133 |
| DOI: | 10.1080/03605300903473400 |
| Online Access: | Resolving-System, lizenzpflichtig, Volltext: https://doi.org/10.1080/03605300903473400 Verlag, lizenzpflichtig, Volltext: https://www.tandfonline.com/doi/abs/10.1080/03605300903473400 
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| Author Notes: | Kyungkeun Kang, Angela Stevens, Juan J.L. Velázquez |
| Summary: | In this paper a one-dimensional Keller-Segel model with a logarithmic chemotactic-sensitivity 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. |
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| Item Description: | Gesehen am 01.03.2023 |
| Physical Description: | Online Resource |
| ISSN: | 1532-4133 |
| DOI: | 10.1080/03605300903473400 |