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DC Field | Value | Language |
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dc.citation.endPage | 711 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 654 | - |
dc.citation.title | JOURNAL OF DIFFERENTIAL EQUATIONS | - |
dc.citation.volume | 261 | - |
dc.contributor.author | Choi, Young-Pil | - |
dc.contributor.author | Kwon, Bongsuk | - |
dc.date.accessioned | 2023-12-21T23:38:12Z | - |
dc.date.available | 2023-12-21T23:38:12Z | - |
dc.date.created | 2016-04-21 | - |
dc.date.issued | 2016-07 | - |
dc.description.abstract | We present a new hydrodynamic model consisting of the pressureless Euler equations and the isentropic compressible Navier-Stokes equations where the coupling of two systems is through the drag force. This coupled system can be derived, in the hydrodynamic limit, from the particle-fluid equations that are frequently used to study the medical sprays, aerosols and sedimentation problems. For the proposed system, we first construct the local-in-time classical solutions in an appropriate L2 Sobolev space. We also establish the a priori large-time behavior estimate by constructing a Lyapunov functional measuring the fluctuation of momentum and mass from the averaged quantities, and using this together with the bootstrapping argument, we obtain the global classical solution. The large-time behavior estimate asserts that the velocity functions of the pressureless Euler and the compressible Navier-Stokes equations are aligned exponentially fast as time tends to infinity. | - |
dc.identifier.bibliographicCitation | JOURNAL OF DIFFERENTIAL EQUATIONS, v.261, no.1, pp.654 - 711 | - |
dc.identifier.doi | 10.1016/j.jde.2016.03.026 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.scopusid | 2-s2.0-84962092843 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/18971 | - |
dc.identifier.url | http://www.sciencedirect.com/science/article/pii/S0022039616001315 | - |
dc.identifier.wosid | 000375339000022 | - |
dc.language | 영어 | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | The Cauchy problem for the pressureless Euler/isentropic Navier-Stokes equations | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | Compressible Navier-Stokes equations | - |
dc.subject.keywordAuthor | Coupled hydrodynamic equations | - |
dc.subject.keywordAuthor | Global existence of classical solutions | - |
dc.subject.keywordAuthor | Large-time behavior | - |
dc.subject.keywordAuthor | Pressureless Euler equations | - |
dc.subject.keywordPlus | LARGE-TIME BEHAVIOR | - |
dc.subject.keywordPlus | COMPRESSIBLE EULER EQUATIONS | - |
dc.subject.keywordPlus | PARTICLE INTERACTION-MODEL | - |
dc.subject.keywordPlus | BOUNDARY-VALUE-PROBLEMS | - |
dc.subject.keywordPlus | CUCKER-SMALE PARTICLES | - |
dc.subject.keywordPlus | GLOBAL WEAK SOLUTIONS | - |
dc.subject.keywordPlus | CONSERVATION-LAWS | - |
dc.subject.keywordPlus | ASYMPTOTIC ANALYSIS | - |
dc.subject.keywordPlus | HYDRODYNAMIC LIMIT | - |
dc.subject.keywordPlus | INITIAL DATA | - |
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