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

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00554564" target="_blank" >RIV/67985840:_____/21:00554564 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.14311/TPFM.2021.001" target="_blank" >http://dx.doi.org/10.14311/TPFM.2021.001</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.14311/TPFM.2021.001" target="_blank" >10.14311/TPFM.2021.001</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

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

  • Original language description

    Wedeal 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.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GA19-04243S" target="_blank" >GA19-04243S: Partial differential equations in mechanics and thermodynamics of fluids</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2021

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Proceedings of Topical Problems of Fluid Mechanics 2021

  • ISBN

    978-80-87012-76-5

  • ISSN

    2336-5781

  • e-ISSN

  • Number of pages

    7

  • Pages from-to

    1-7

  • Publisher name

    Institute of Thermomechanics AS CR, v. v. i.

  • Place of publication

    Prague

  • Event location

    on-line

  • Event date

    Feb 17, 2021

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000853393400001