Vortices of large scale appearing in the 2D stationary Navier-Stokes equations at large Reynolds numbers
DC Field | Value | Language |
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dc.contributor.author | Kim, Sun-Chul | - |
dc.contributor.author | Okamoto, Hisashi | - |
dc.date.available | 2019-05-30T01:35:01Z | - |
dc.date.issued | 2010-06 | - |
dc.identifier.issn | 0916-7005 | - |
dc.identifier.issn | 1868-937X | - |
dc.identifier.uri | https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/22423 | - |
dc.description.abstract | We consider Kolmogorov's problem for the two-dimensional (2D) Navier-Stokes equations. Stability of and bifurcation from the trivial solution are studied numerically. More specifically, we compute solutions with large Reynolds numbers with a family of prescribed external forces of increasing degree of oscillation. We find that, whatever the external force may be, a stable steady-state of simple geometric character exits for sufficiently large Reynolds numbers. We thus observe a kind of universal outlook of the solutions, which is independent of the external force. This observation is reinforced further by an asymptotic analysis of a simple equation called the Proudman-Johnson equation. | - |
dc.format.extent | 25 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | SPRINGER JAPAN KK | - |
dc.title | Vortices of large scale appearing in the 2D stationary Navier-Stokes equations at large Reynolds numbers | - |
dc.type | Article | - |
dc.identifier.doi | 10.1007/s13160-010-0010-0 | - |
dc.identifier.bibliographicCitation | JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, v.27, no.1, pp 47 - 71 | - |
dc.description.isOpenAccess | N | - |
dc.identifier.wosid | 000280559600005 | - |
dc.identifier.scopusid | 2-s2.0-77956649621 | - |
dc.citation.endPage | 71 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 47 | - |
dc.citation.title | JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | - |
dc.citation.volume | 27 | - |
dc.type.docType | Article | - |
dc.publisher.location | 일본 | - |
dc.subject.keywordAuthor | Navier-Stokes equations | - |
dc.subject.keywordAuthor | Subharmonic bifurcation | - |
dc.subject.keywordAuthor | Proudman-Johnson equation | - |
dc.subject.keywordAuthor | Vortex of large scale | - |
dc.subject.keywordPlus | TWO-DIMENSIONAL TURBULENCE | - |
dc.subject.keywordPlus | SIMILARITY SOLUTIONS | - |
dc.subject.keywordPlus | STAGNATION-POINT | - |
dc.subject.keywordPlus | FLOW | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.description.journalRegisteredClass | sci | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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