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The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier–Stokes system
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SYSNO ASEP 0475172 Document Type J - Journal Article R&D Document Type The record was not marked in the RIV Subsidiary J Článek ve WOS Title The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier–Stokes system Author(s) Diening, L. (DE)
Feireisl, Eduard (MU-W) RID, SAI, ORCID
Lu, Y. (CZ)Source Title ESAIM-Control Optimisation and Calculus of Variations. - : EDP Sciences - ISSN 1292-8119
Roč. 23, č. 3 (2017), s. 851-868Number of pages 18 s. Language eng - English Country FR - France Keywords perforated domains ; Bogovskii type operators ; homogenization ; compressible Navier–Stokes system Subject RIV BA - General Mathematics OECD category Applied mathematics UT WOS 000401658500005 EID SCOPUS 85019611853 DOI 10.1051/cocv/2016016 Annotation We study the inverse of the divergence operator on a domain Omega subset of R-3 perforated by a system of tiny holes. We show that such inverse can be constructed on the Lebesgue space L-p (Omega) for any 1 < p < 3, with a norm independent of perforation, provided the holes are suitably small and their mutual distance suitably large. Applications are given to problems arising in homogenization of steady compressible fluid flows. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2018
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