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Note on the mathematical analysis of the motion of a rigid body in a generalized incompressible Navier-Stokes fluid

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    SYSNO ASEP0554564
    Document TypeC - Proceedings Paper (int. conf.)
    R&D Document TypeConference Paper
    TitleNote on the mathematical analysis of the motion of a rigid body in a generalized incompressible Navier-Stokes fluid
    Author(s) Al Baba, H. (LB)
    Ghosh, Amrita (MU-W) SAI
    Muha, B. (HR)
    Nečasová, Šárka (MU-W) RID, SAI, ORCID
    Source TitleProceedings of Topical Problems of Fluid Mechanics 2021. - Prague : Institute of Thermomechanics AS CR, v. v. i., 2021 / Bodnár T. ; Neustupa T. ; Šimurda D. - ISSN 2336-5781 - ISBN 978-80-87012-76-5
    Pagess. 1-7
    Number of pages7 s.
    Publication formPrint - P
    ActionTopical Problems of Fluid Mechanics 2021
    Event date17.02.2021 - 19.02.2021
    VEvent locationon-line
    CountryCZ - Czech Republic
    Event typeWRD
    Languageeng - English
    CountryCZ - Czech Republic
    KeywordsNavier-Stokes equations ; non-Newtonian fluid ; Navier slip condition ; strong solution
    Subject RIVBA - General Mathematics
    OECD categoryPure mathematics
    R&D ProjectsGA19-04243S GA ČR - Czech Science Foundation (CSF)
    Institutional supportMU-W - RVO:67985840
    UT WOS000853393400001
    DOI10.14311/TPFM.2021.001
    AnnotationWedeal with a fluid-structure interaction problem: a motion of the rigid body inside a bounded domain filled by a fluid. We consider a viscous incompressible fluid described by the generalized incompressible Navier-Stokes equations which include cases of Newtonian and non-Newtonian f luids. The fluid and the rigid body are coupled via the Navier slip boundary conditions and the motion of the solid is governed by Newton’s laws. We also investigate the case of the nonlinear slip condition.The main results assert the existence of strong solutions, in an Lp − Lq setting.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2022
Number of the records: 1  

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