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On pointwise decay of linearized stationary incompressible viscous flow around rotating and translating bodies

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    SYSNO ASEP0359868
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleOn pointwise decay of linearized stationary incompressible viscous flow around rotating and translating bodies
    Author(s) Deuring, P. (FR)
    Kračmar, S. (CZ)
    Nečasová, Šárka (MU-W) RID, SAI, ORCID
    Source TitleSIAM Journal on Mathematical Analysis. - : SIAM Society for Industrial and Applied Mathematics - ISSN 0036-1410
    Roč. 43, č. 2 (2011), s. 705-738
    Number of pages34 s.
    Languageeng - English
    CountryUS - United States
    Keywordsviscous incompressible flow ; rotating body ; fundamental solution ; decay ; Navier-Stokes system
    Subject RIVBA - General Mathematics
    R&D ProjectsIAA100190804 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
    CEZAV0Z10190503 - MU-W (2005-2011)
    UT WOS000292032000007
    EID SCOPUS79957449243
    DOI10.1137/100786198
    AnnotationWe consider a system arising by linearization of a model for stationary viscous incompressible flow past a rotating and translating rigid body. Using a fundamental solution proposed by Guenther and Thomann, we derive a representation formula for the velocity field. This formula is then used to obtain pointwise decay estimates and to identify a leading term with respect to this decay. In addition, we prove a representation theorem for weak solutions of the stationary Navier-Stokes system with Oseen and rotational terms.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2012
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