Low Mach number limit of viscous polytropic fluid flows

This paper studies the singular limit of the non-isentropic Navier-Stokes equations with zero thermal coefficient in a two-dimensional bounded domain as the Mach number goes to zero. A uniform existence result is obtained in a time interval independent of the Mach number, provided that the initial d...

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Bibliographic Details
Author: Ou, Y.
Format: article
Status:Published version
Publication Date:2011
Country:España
Institution:Basque Center for Applied Mathematics (BCAM)
Repository:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/590
Online Access:http://hdl.handle.net/20.500.11824/590
Access Level:Open access
Keyword:Mach number
Navier-Stokes equations
Non-isentropic
Singular limit
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spelling Low Mach number limit of viscous polytropic fluid flowsOu, Y.Mach numberNavier-Stokes equationsNon-isentropicSingular limitThis paper studies the singular limit of the non-isentropic Navier-Stokes equations with zero thermal coefficient in a two-dimensional bounded domain as the Mach number goes to zero. A uniform existence result is obtained in a time interval independent of the Mach number, provided that the initial data satisfy the "bounded derivative conditions", that is, the time derivatives up to order two are bounded initially, and Navier's slip boundary condition is imposed.201720172011info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/590reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Ingléshttps://www.scopus.com/inward/record.uri?eid=2-s2.0-79960895345&doi=10.1016%2fj.jde.2011.07.009&partnerID=40&md5=71175743b5c045790700d87d8b648c9fReconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/5902026-06-19T12:47:47Z
dc.title.none.fl_str_mv Low Mach number limit of viscous polytropic fluid flows
title Low Mach number limit of viscous polytropic fluid flows
spellingShingle Low Mach number limit of viscous polytropic fluid flows
Ou, Y.
Mach number
Navier-Stokes equations
Non-isentropic
Singular limit
title_short Low Mach number limit of viscous polytropic fluid flows
title_full Low Mach number limit of viscous polytropic fluid flows
title_fullStr Low Mach number limit of viscous polytropic fluid flows
title_full_unstemmed Low Mach number limit of viscous polytropic fluid flows
title_sort Low Mach number limit of viscous polytropic fluid flows
dc.creator.none.fl_str_mv Ou, Y.
author Ou, Y.
author_facet Ou, Y.
author_role author
dc.subject.none.fl_str_mv Mach number
Navier-Stokes equations
Non-isentropic
Singular limit
topic Mach number
Navier-Stokes equations
Non-isentropic
Singular limit
description This paper studies the singular limit of the non-isentropic Navier-Stokes equations with zero thermal coefficient in a two-dimensional bounded domain as the Mach number goes to zero. A uniform existence result is obtained in a time interval independent of the Mach number, provided that the initial data satisfy the "bounded derivative conditions", that is, the time derivatives up to order two are bounded initially, and Navier's slip boundary condition is imposed.
publishDate 2011
dc.date.none.fl_str_mv 2011
2017
2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/590
url http://hdl.handle.net/20.500.11824/590
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://www.scopus.com/inward/record.uri?eid=2-s2.0-79960895345&doi=10.1016%2fj.jde.2011.07.009&partnerID=40&md5=71175743b5c045790700d87d8b648c9f
dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:BIRD. BCAM's Institutional Repository Data
instname:Basque Center for Applied Mathematics (BCAM)
instname_str Basque Center for Applied Mathematics (BCAM)
reponame_str BIRD. BCAM's Institutional Repository Data
collection BIRD. BCAM's Institutional Repository Data
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300719

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