EXISTENCE OF SMOOTH SOLUTIONS TO COUPLED CHEMOTAXIS-FLUID EQUATIONS
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chae, Myeongju | - |
dc.contributor.author | Kang, Kyungkeun | - |
dc.contributor.author | Lee, Jihoon | - |
dc.date.accessioned | 2022-05-04T00:40:08Z | - |
dc.date.available | 2022-05-04T00:40:08Z | - |
dc.date.issued | 2013-06 | - |
dc.identifier.issn | 1078-0947 | - |
dc.identifier.issn | 1553-5231 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/57028 | - |
dc.description.abstract | We consider a system coupling the parabolic-parabolic Keller-Segel equations to the in- compressible Navier-Stokes equations in spatial dimensions two and three. We establish the local existence of regular solutions and present some blow-up criteria. For two dimensional Navier-Stokes-Keller-Segel equations, regular solutions constructed locally in time are, in reality, extended globally under some assumptions pertinent to experimental observation in [20] on the consumption rate and chemotactic sensitivity. We also show the existence of global weak solutions in spatially three dimensions with rather restrictive consumption rate and chemotactic sensitivity. | - |
dc.format.extent | 27 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES-AIMS | - |
dc.title | EXISTENCE OF SMOOTH SOLUTIONS TO COUPLED CHEMOTAXIS-FLUID EQUATIONS | - |
dc.type | Article | - |
dc.identifier.doi | 10.3934/dcds.2013.33.2271 | - |
dc.identifier.bibliographicCitation | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v.33, no.6, pp 2271 - 2297 | - |
dc.description.isOpenAccess | N | - |
dc.identifier.wosid | 000313566600003 | - |
dc.identifier.scopusid | 2-s2.0-84872154531 | - |
dc.citation.endPage | 2297 | - |
dc.citation.number | 6 | - |
dc.citation.startPage | 2271 | - |
dc.citation.title | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | - |
dc.citation.volume | 33 | - |
dc.type.docType | Article | - |
dc.publisher.location | 미국 | - |
dc.subject.keywordAuthor | Chemotaxis-fluid equations | - |
dc.subject.keywordAuthor | Keller-Segel | - |
dc.subject.keywordAuthor | Navier-Stokes system | - |
dc.subject.keywordAuthor | global solutions | - |
dc.subject.keywordAuthor | energy estimates | - |
dc.subject.keywordPlus | MODEL | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | sci | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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