On the global existence of weak solutions for the Cucker-Smale-Navier-Stokes system with shear thickening
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ha, Seung-Yeal | - |
dc.contributor.author | Kim, Hwa Kil | - |
dc.contributor.author | Kim, Jae-Myoung | - |
dc.contributor.author | Park, Jinyeong | - |
dc.date.accessioned | 2022-07-10T23:00:37Z | - |
dc.date.available | 2022-07-10T23:00:37Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2018-11 | - |
dc.identifier.issn | 1674-7283 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/149039 | - |
dc.description.abstract | We study the large-time dynamics of Cucker-Smale (C-S) flocking particles interacting with non-Newtonian incompressible fluids. Dynamics of particles and fluids were modeled using the kinetic Cucker-Smale equation for particles and non-Newtonian Navier-Stokes system for fluids, respectively and these two systems are coupled via the drag force, which is the main flocking (alignment) mechanism between particles and fluids. We present a global existence theory for weak solutions to the coupled Cucker-Smale-Navier-Stokes system with shear thickening. We also use a Lyapunov functional approach to show that sufficiently regular solutions approach flocking states exponentially fast in time. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | SCIENCE PRESS | - |
dc.title | On the global existence of weak solutions for the Cucker-Smale-Navier-Stokes system with shear thickening | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Jinyeong | - |
dc.identifier.doi | 10.1007/s11425-017-9301-y | - |
dc.identifier.scopusid | 2-s2.0-85050970067 | - |
dc.identifier.wosid | 000447411300008 | - |
dc.identifier.bibliographicCitation | SCIENCE CHINA-MATHEMATICS, v.61, no.11, pp.2033 - 2052 | - |
dc.relation.isPartOf | SCIENCE CHINA-MATHEMATICS | - |
dc.citation.title | SCIENCE CHINA-MATHEMATICS | - |
dc.citation.volume | 61 | - |
dc.citation.number | 11 | - |
dc.citation.startPage | 2033 | - |
dc.citation.endPage | 2052 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | MEAN-FIELD LIMIT | - |
dc.subject.keywordPlus | NON-NEWTONIAN FLUIDS | - |
dc.subject.keywordPlus | CLASSICAL-SOLUTIONS | - |
dc.subject.keywordPlus | FLOCKING DYNAMICS | - |
dc.subject.keywordPlus | EQUATIONS | - |
dc.subject.keywordPlus | VLASOV | - |
dc.subject.keywordPlus | MODEL | - |
dc.subject.keywordAuthor | emergence | - |
dc.subject.keywordAuthor | flocking | - |
dc.subject.keywordAuthor | Cucker-Smale model | - |
dc.subject.keywordAuthor | Navier-Stokes equation | - |
dc.subject.keywordAuthor | non-Newtonian fluid | - |
dc.identifier.url | https://link.springer.com/article/10.1007/s11425-017-9301-y | - |
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