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Homogenization problems for the compressible Navier-Stokes system in 2D perforated domains
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SYSNO ASEP 0559097 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Homogenization problems for the compressible Navier-Stokes system in 2D perforated domains Author(s) Nečasová, Šárka (MU-W) RID, SAI, ORCID
Pan, J. (CN)Source Title Mathematical Methods in the Applied Sciences. - : Wiley - ISSN 0170-4214
Roč. 45, č. 12 (2022), s. 7859-7873Number of pages 15 s. Language eng - English Country GB - United Kingdom Keywords Bogovskii's operator ; homogenization ; Navier-Stokes system ; perforated domains Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA19-04243S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000781948000001 EID SCOPUS 85128594255 DOI 10.1002/mma.8283 Annotation In this paper, we study the homogenization problems for stationary compressible Navier–Stokes system in a bounded 2D domain, where the domain is perforated with very tiny holes (or obstacles) whose diameters are much smaller than their mutual distances. We obtain that the process of homogenization doesn't change the motion of the fluids. From another point of view, we obtain the same system of equations in asymptotic limit. It is the first result of homogenization problem in 2D compressible case. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2023 Electronic address https://doi.org/10.1002/mma.8283
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