A blow-up criterion for compressible viscous heat-conductive flows

We study an initial boundary value problem for the Navier-Stokes equations of compressible viscous heat-conductive fluids in a 2-D periodic domain or the unit square domain. We establish a blow-up criterion for the local strong solutions in terms of the gradient of the velocity only, which coincides...

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Bibliographic Details
Published inActa mathematica scientia Vol. 30; no. 6; pp. 1851 - 1864
Main Authors Song, Jiang, Yaobin, Ou
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.11.2010
LCP, Institute of Applied Physics and Computational Mathematics,P. O. Box 8009, Beijing 100088, China
Subjects
35M10
35Q30
76N10
blow-up criteria
Boundary value problems
compressible Navier-Stokes equations
Computational fluid dynamics
Criteria
Fluid flow
Fluids
heat-conductive flows
Incompressible flow
Mathematical analysis
Navier-Stokes equations
strong solutions
compressible Navier-Stokes equations
strong solutions
heat-conductive flows
blow-up criteria
35Q30
35M10
76N10
compressiblc Navier-Stokes equations
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Summary:We study an initial boundary value problem for the Navier-Stokes equations of compressible viscous heat-conductive fluids in a 2-D periodic domain or the unit square domain. We establish a blow-up criterion for the local strong solutions in terms of the gradient of the velocity only, which coincides with the famous Beale-Kato-Majda criterion for ideal incompressible flows.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(10)60178-6