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The effective boundary conditions for vector fields on domains with rough boundaries: applications to fluid mechanics

  1. 1.
    SYSNO ASEP0359870
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleThe effective boundary conditions for vector fields on domains with rough boundaries: applications to fluid mechanics
    Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID
    Nečasová, Šárka (MU-W) RID, SAI, ORCID
    Source TitleApplications of Mathematics. - : Springer - ISSN 0862-7940
    Roč. 56, č. 1 (2011), s. 39-49
    Number of pages11 s.
    Languageeng - English
    CountryCZ - Czech Republic
    KeywordsNavier-Stokes system ; rough boundary ; slip boundary condition
    Subject RIVBA - General Mathematics
    R&D ProjectsGA201/05/0164 GA ČR - Czech Science Foundation (CSF)
    IAA100190505 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
    IAA100190804 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
    CEZAV0Z10190503 - MU-W (2005-2011)
    UT WOS000300060700003
    EID SCOPUS84856346933
    DOI10.1007/s10492-011-0008-1
    AnnotationThe Navier-Stokes system is studied on a family of domains with rough boundaries formed by oscillationg riblets. Assuming the complete slip boundary conditions we identify the limit system, in particular, we show that the limit velocity field satisfies boundary conditions of a mixed type depending on the characteristic direction of the riblets.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2012
Number of the records: 1  

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