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Homogenization problems for the compressible Navier-Stokes system in 2D perforated domains

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    SYSNO ASEP0559097
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleHomogenization problems for the compressible Navier-Stokes system in 2D perforated domains
    Author(s) Nečasová, Šárka (MU-W) RID, SAI, ORCID
    Pan, J. (CN)
    Source TitleMathematical Methods in the Applied Sciences. - : Wiley - ISSN 0170-4214
    Roč. 45, č. 12 (2022), s. 7859-7873
    Number of pages15 s.
    Languageeng - English
    CountryGB - United Kingdom
    KeywordsBogovskii's operator ; homogenization ; Navier-Stokes system ; perforated domains
    Subject RIVBA - General Mathematics
    OECD categoryPure mathematics
    R&D ProjectsGA19-04243S GA ČR - Czech Science Foundation (CSF)
    Method of publishingLimited access
    Institutional supportMU-W - RVO:67985840
    UT WOS000781948000001
    EID SCOPUS85128594255
    DOI10.1002/mma.8283
    AnnotationIn 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.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2023
    Electronic addresshttps://doi.org/10.1002/mma.8283
Number of the records: 1  

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