Homogenization and singular limits for the complete Navier-Stokes-Fourier system

Result code in IS VaVaI

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Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Homogenization and singular limits for the complete Navier-Stokes-Fourier system

Original language description

In this paper we apply the methods of homogenization to the full Navier-Stokes-Fourier system describing the motion of a general viscous, compressible, and heat conducting fluid. We study the asymptotic behavior of solutions in perforated domains with tiny holes, where the diameter of the holes is proportional to their mutual distance. As a limit system, we identify a porous medium type equation with a nonlinear Darcy's law.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2010

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal de Mathematiques Pures Et Appliquees

ISSN

0021-7824

e-ISSN

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Volume of the periodical

94

Issue of the periodical within the volume

1

Country of publishing house

FR - FRANCE

Number of pages

25

Pages from-to

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UT code for WoS article

000279886800002

EID of the result in the Scopus database

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