Number of the records: 1  

Fluids Under Control

  1. 1.
    SYSNO ASEP0575328
    Document TypeM - Monograph Chapter
    R&D Document TypeMonograph Chapter
    TitleAsymptotic behavior of the Navier-Stokes type problem
    Author(s) Kračmar, S. (CZ)
    Nečasová, Šárka (MU-W) RID, SAI, ORCID
    Source TitleFluids Under Control. - Cham : Birkhäuser, 2023 / Bodnár T. ; Galdi G. P. ; Nečasová Š. - ISSN 2297-0320 - ISBN 978-3-031-27624-8
    Pagess. 141-170
    Number of pages30 s.
    Number of copy200
    Number of pages359
    Publication formPrint - P
    Languageeng - English
    CountryCH - Switzerland
    KeywordsNavier-Stokes system ; fluid flow
    Subject RIVBA - General Mathematics
    OECD categoryPure mathematics
    R&D ProjectsGA19-04243S GA ČR - Czech Science Foundation (CSF)
    GA22-01591S GA ČR - Czech Science Foundation (CSF)
    Institutional supportMU-W - RVO:67985840
    DOI https://doi.org/10.1007/978-3-031-27625-5_5
    AnnotationThis paper i a review on the problem of the motion of incompressible flow around a rotating and translating rigid body D in an exterior domain. D is assumed open and bounded, with Lipschitz boundary. We focus on the asymptotic behavior of the problem. It is shown that the velocity may be split into a constant times the first column of the fundamental solution of the Oseen system, plus a remainder term decaying pointwise near infinity at a rate which is higher than the decay rate of the Oseen tensor. Moreover, it is derived the optimal rates of the velocity, gradient of the velocity and the pressure.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2024
Number of the records: 1  

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