eprintid: 8371
rev_number: 7
eprint_status: archive
userid: 1
dir: disk0/00/00/83/71
datestamp: 2008-04-30 14:08:40
lastmod: 2015-04-27 00:20:09
status_changed: 2012-08-14 15:25:16
type: preprint
metadata_visibility: show
creators_name: Kang, Kyungkeun
creators_name: Stevens, Angela
creators_name: Velàzquez, Juan J. L.
title: Qualitative Behavior of a Keller-Segel Model with Non-Diffusive Memory
ispublished: pub
subjects: 510
divisions: 110400
divisions: 708000
keywords: chemotaxis , global solutions , blowup , non-diffusive memory
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.
abstract_translated_lang: eng
class_scheme: msc
class_labels: 92C17, 35K55
date: 2008
date_type: published
id_scheme: DOI
id_number: 10.11588/heidok.00008371
portal_cluster_id: p-iwrpp
portal_order: 08371
ppn_swb: 1646260309
own_urn: urn:nbn:de:bsz:16-opus-83714
language: eng
bibsort: KANGKYUNGKQUALITATIV2008
full_text_status: public
series: IWR-Preprints
citation:   Kang, Kyungkeun ; Stevens, Angela ; Velàzquez, Juan J. L.  (2008) Qualitative Behavior of a Keller-Segel Model with Non-Diffusive Memory.  [Preprint]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/8371/1/ksv_math_annalen.pdf