A logarithmic chemotaxis model featuring global existence and aggregation

Cited 1 time in webofscience Cited 0 time in scopus
  • Hit : 71
  • Download : 0
DC FieldValueLanguage
dc.contributor.authorDesvillettes, Laurentko
dc.contributor.authorKim, Yong-Jungko
dc.contributor.authorTrescases, Arianeko
dc.contributor.authorYoon, Changwookko
dc.date.accessioned2019-08-20T05:20:02Z-
dc.date.available2019-08-20T05:20:02Z-
dc.date.created2019-08-19-
dc.date.issued2019-12-
dc.identifier.citationNONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v.50, pp.562 - 582-
dc.identifier.issn1468-1218-
dc.identifier.urihttp://hdl.handle.net/10203/264321-
dc.description.abstractThe global existence of a chemotaxis model for cell aggregation phenomenon is obtained. The model system belongs to the class of logarithmic models and takes a Fokker-Planck type diffusion for the equation of cell density. We show that weak solutions exist globally in time in dimensions n is an element of {1, 2, 3} and for large initial data. The proof covers the parameter regimes that constant steady states are linearly stable. It also partially covers the other parameter regimes that constant steady states are unstable. We also find the sharp instability condition of constant steady states and provide numerical simulations which illustrate the formation of aggregation patterns. (C) 2019 Elsevier Ltd. All rights reserved.-
dc.languageEnglish-
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD-
dc.titleA logarithmic chemotaxis model featuring global existence and aggregation-
dc.typeArticle-
dc.identifier.wosid000477783900027-
dc.identifier.scopusid2-s2.0-85067388779-
dc.type.rimsART-
dc.citation.volume50-
dc.citation.beginningpage562-
dc.citation.endingpage582-
dc.citation.publicationnameNONLINEAR ANALYSIS-REAL WORLD APPLICATIONS-
dc.identifier.doi10.1016/j.nonrwa.2019.05.010-
dc.contributor.localauthorKim, Yong-Jung-
dc.contributor.nonIdAuthorDesvillettes, Laurent-
dc.contributor.nonIdAuthorTrescases, Ariane-
dc.contributor.nonIdAuthorYoon, Changwook-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorAsymmetric diffusion-
dc.subject.keywordAuthorKeller-Segel equations-
dc.subject.keywordAuthorDuality lemma-
dc.subject.keywordAuthorCross-diffusion-
dc.subject.keywordAuthorCell-aggregation-
dc.subject.keywordAuthorPattern formation-
dc.subject.keywordPlusLEAST-ENERGY SOLUTIONS-
dc.subject.keywordPlusKELLER-SEGEL MODEL-
dc.subject.keywordPlusBLOW-UP-
dc.subject.keywordPlusDIFFUSION-
dc.subject.keywordPlusSYSTEM-
dc.subject.keywordPlusBOUNDEDNESS-
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 1 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0