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Homogenization and singular limits for the complete Navier-Stokes-Fourier system
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SYSNO ASEP 0349251 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Homogenization and singular limits for the complete Navier-Stokes-Fourier system Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID
Novotný, A. (FR)
Takahashi, T. (FR)Source Title Journal de Mathematiques Pures et Appliquees. - : Elsevier - ISSN 0021-7824
Roč. 94, č. 1 (2010), s. 33-57Number of pages 25 s. Language eng - English Country FR - France Keywords compressible Navier-Stokes-Fourier equations ; homogenization ; porous medium equation Subject RIV BA - General Mathematics R&D Projects LC06052 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) GA201/08/0315 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000279886800002 EID SCOPUS 77953806689 DOI 10.1016/j.matpur.2009.11.006 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
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