title: Qualitative Behavior of a Keller-Segel Model with Non-Diffusive Memory creator: Kang, Kyungkeun creator: Stevens, Angela creator: Velàzquez, Juan J. L. subject: 510 subject: 510 Mathematics description: 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. date: 2008 type: Preprint type: info:eu-repo/semantics/preprint type: NonPeerReviewed format: application/pdf identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/8371/1/ksv_math_annalen.pdf identifier: DOI:10.11588/heidok.00008371 identifier: urn:nbn:de:bsz:16-opus-83714 identifier: Kang, Kyungkeun ; Stevens, Angela ; Velàzquez, Juan J. L. (2008) Qualitative Behavior of a Keller-Segel Model with Non-Diffusive Memory. [Preprint] relation: https://archiv.ub.uni-heidelberg.de/volltextserver/8371/ rights: info:eu-repo/semantics/openAccess rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html language: eng