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DC Field | Value | Language |
---|---|---|
dc.citation.endPage | 2359 | - |
dc.citation.number | 11 | - |
dc.citation.startPage | 2311 | - |
dc.citation.title | MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | - |
dc.citation.volume | 24 | - |
dc.contributor.author | Ha, Seung-Yeol | - |
dc.contributor.author | Kang, Moon-Jin | - |
dc.contributor.author | Kwon, Bongsuk | - |
dc.date.accessioned | 2023-12-22T02:10:46Z | - |
dc.date.available | 2023-12-22T02:10:46Z | - |
dc.date.created | 2014-05-12 | - |
dc.date.issued | 2014-10 | - |
dc.description.abstract | We present a new hydrodynamic model for the interactions between collision-free Cucker-Smale flocking particles and a viscous incompressible fluid. Our proposed model consists of two hydrodynamic models. For the Cucker-Smale flocking particles, we employ the pressureless Euler system with a non-local flocking dissipation, whereas for the fluid, we use the incompressible Navier-Stokes equations. These two hydrodynamic models are coupled through a drag force, which is the main flocking mechanism between the particles and the fluid. The flocking mechanism between particles is regulated by the Cucker-Smale model, which accelerates global flocking between the particles and the fluid. We show that this model admits the global-in-time classical solutions, and exhibits time-asymptotic flocking, provided that the initial data is appropriately small. In the course of our analysis for the proposed system, we first consider the hydrodynamic Cucker-Smale equations (the pressureless Euler system with a non-local flocking dissipation), for which the global existence and the time-asymptotic behavior of the classical solutions are also investigated. | - |
dc.identifier.bibliographicCitation | MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, v.24, no.11, pp.2311 - 2359 | - |
dc.identifier.doi | 10.1142/S0218202514500225 | - |
dc.identifier.issn | 0218-2025 | - |
dc.identifier.scopusid | 2-s2.0-84905924349 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/4548 | - |
dc.identifier.url | http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84905924349 | - |
dc.identifier.wosid | 000340609500006 | - |
dc.language | 영어 | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.title | A hydrodynamic model for the interaction of Cucker-Smale particles and incompressible fluid | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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