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Note on the problem of motion of viscous fluid around a rotating and translating rigid body

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    SYSNO ASEP0540651
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleNote on the problem of motion of viscous fluid around a rotating and translating rigid body
    Author(s) Deuring, P. (FR)
    Kračmar, Stanislav (MU-W) SAI, ORCID, RID
    Nečasová, Šárka (MU-W) RID, SAI, ORCID
    Source TitleActa Polytechnica. - : České vysoké učení technické - ISSN 1210-2709
    Roč. 61, SI (2021), s. 5-13
    Number of pages9 s.
    Languageeng - English
    CountryCZ - Czech Republic
    Keywordsartificial boundary conditions ; estimates of pressure ; exterior domain ; incompressible fluid
    Subject RIVBA - General Mathematics
    OECD categoryPure mathematics
    R&D ProjectsGA19-04243S GA ČR - Czech Science Foundation (CSF)
    Method of publishingOpen access
    Institutional supportMU-W - RVO:67985840
    UT WOS000618346400002
    EID SCOPUS85101403201
    DOI10.14311/AP.2021.61.0005
    AnnotationWe consider the linearized and nonlinear systems describing the motion of incompressible flow around a rotating and translating rigid body D in the exterior domain Ω = R3 D, where D ⊂ R3 is open and bounded, with Lipschitz boundary. We derive the L∞-estimates for the pressure and investigate the leading term for the velocity and its gradient. Moreover, we show that the velocity essentially behaves near the infinity as a constant times the first column of the fundamental solution of the Oseen system. Finally, we consider the Oseen problem in a bounded domain ΩR:= BR ∩ Ω under certain artificial boundary conditions on the truncating boundary ∂BR, and then we compare this solution with the solution in the exterior domain Ω to get the truncation error estimate.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2022
    Electronic addresshttps://doi.org/10.14311/AP.2021.61.0005
Number of the records: 1  

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