A logarithmic chemotaxis model featuring global existence and aggregation
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Desvillettes, Laurent | - |
dc.contributor.author | Kim, Yong-Jung | - |
dc.contributor.author | Trescases, Ariane | - |
dc.contributor.author | Yoon, Changwook | - |
dc.date.accessioned | 2021-08-31T22:50:21Z | - |
dc.date.available | 2021-08-31T22:50:21Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2019-12 | - |
dc.identifier.issn | 1468-1218 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/61449 | - |
dc.description.abstract | The 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.language | English | - |
dc.language.iso | en | - |
dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | - |
dc.subject | LEAST-ENERGY SOLUTIONS | - |
dc.subject | KELLER-SEGEL MODEL | - |
dc.subject | BLOW-UP | - |
dc.subject | DIFFUSION | - |
dc.subject | SYSTEM | - |
dc.subject | BOUNDEDNESS | - |
dc.title | A logarithmic chemotaxis model featuring global existence and aggregation | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Yoon, Changwook | - |
dc.identifier.doi | 10.1016/j.nonrwa.2019.05.010 | - |
dc.identifier.scopusid | 2-s2.0-85067388779 | - |
dc.identifier.wosid | 000477783900027 | - |
dc.identifier.bibliographicCitation | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v.50, pp.562 - 582 | - |
dc.relation.isPartOf | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | - |
dc.citation.title | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | - |
dc.citation.volume | 50 | - |
dc.citation.startPage | 562 | - |
dc.citation.endPage | 582 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.subject.keywordPlus | LEAST-ENERGY SOLUTIONS | - |
dc.subject.keywordPlus | KELLER-SEGEL MODEL | - |
dc.subject.keywordPlus | BLOW-UP | - |
dc.subject.keywordPlus | DIFFUSION | - |
dc.subject.keywordPlus | SYSTEM | - |
dc.subject.keywordPlus | BOUNDEDNESS | - |
dc.subject.keywordAuthor | Asymmetric diffusion | - |
dc.subject.keywordAuthor | Keller-Segel equations | - |
dc.subject.keywordAuthor | Duality lemma | - |
dc.subject.keywordAuthor | Cross-diffusion | - |
dc.subject.keywordAuthor | Cell-aggregation | - |
dc.subject.keywordAuthor | Pattern formation | - |
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