Eventual smoothness and stabilization of global weak solutions in parabolic–elliptic chemotaxis systems with logarithmic sensitivity
DC Field | Value | Language |
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dc.contributor.author | Ahn, Jaewook | - |
dc.contributor.author | Kang, Kyungkeun | - |
dc.contributor.author | Lee, Jihoon | - |
dc.date.available | 2019-05-28T03:36:30Z | - |
dc.date.issued | 2019-10 | - |
dc.identifier.issn | 1468-1218 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/18607 | - |
dc.description.abstract | A parabolic–elliptic chemotaxis system with non-negative chemotactic sensitivity χ∕v and positive chemical diffusion coefficient η is considered in a smooth bounded domain Ω⊂R N , N≥2 under homogeneous Neumann boundary conditions. We show the existence of at least one global weak solution for χ<χ N , N≥3, where χ N ≔[Formula presented]. Moreover, under further assumptions of Ω and η, we prove that the constructed solution becomes smooth and stabilizes to a constant steady state after some waiting time if N=3,4. The stabilization of a global bounded solution, and the non-existence of non-constant steady states are also discussed in general dimensions. © 2019 Elsevier Ltd | - |
dc.format.extent | 19 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | Elsevier Ltd | - |
dc.title | Eventual smoothness and stabilization of global weak solutions in parabolic–elliptic chemotaxis systems with logarithmic sensitivity | - |
dc.type | Article | - |
dc.identifier.doi | 10.1016/j.nonrwa.2019.03.012 | - |
dc.identifier.bibliographicCitation | Nonlinear Analysis: Real World Applications, v.49, pp 312 - 330 | - |
dc.description.isOpenAccess | N | - |
dc.identifier.wosid | 000470052000015 | - |
dc.identifier.scopusid | 2-s2.0-85063992601 | - |
dc.citation.endPage | 330 | - |
dc.citation.startPage | 312 | - |
dc.citation.title | Nonlinear Analysis: Real World Applications | - |
dc.citation.volume | 49 | - |
dc.type.docType | Article | - |
dc.publisher.location | 영국 | - |
dc.subject.keywordAuthor | Chemotaxis | - |
dc.subject.keywordAuthor | Eventual regularity | - |
dc.subject.keywordAuthor | Large time behavior | - |
dc.subject.keywordAuthor | Logarithmic sensitivity | - |
dc.subject.keywordPlus | Biochemistry | - |
dc.subject.keywordPlus | Boundary conditions | - |
dc.subject.keywordPlus | Stabilization | - |
dc.subject.keywordPlus | Bounded solution | - |
dc.subject.keywordPlus | Chemical diffusion coefficients | - |
dc.subject.keywordPlus | Chemotaxis | - |
dc.subject.keywordPlus | Eventual regularity | - |
dc.subject.keywordPlus | Global weak solution | - |
dc.subject.keywordPlus | Large time behavior | - |
dc.subject.keywordPlus | Logarithmic sensitivity | - |
dc.subject.keywordPlus | Neumann boundary condition | - |
dc.subject.keywordPlus | Sensitivity analysis | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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