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Fluid-rigid body interaction in an incompressible electrically conducting fluid

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00571370" target="_blank" >RIV/67985840:_____/23:00571370 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216208:11320/23:10475751

  • Result on the web

    <a href="https://doi.org/10.1137/22M148255" target="_blank" >https://doi.org/10.1137/22M148255</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1137/22M148255X" target="_blank" >10.1137/22M148255X</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Fluid-rigid body interaction in an incompressible electrically conducting fluid

  • Original language description

    We analyze a mathematical model that describes the interaction between an insulating rigid body and an incompressible electrically conducting fluid surrounding it. The model as well as the mathematical analysis involve the fields of fluid-structure interaction and of magnetohydrodynamics. Our main result shows the existence of a weak solution to the corresponding system of partial differential equations. The proof relies on a use of a time discretization via the Rothe method to decouple the system. This allows us to deal with test functions, depending on the position of the moving body and therefore on the solution of the system, in the weak formulation of the induction equation. The proof moreover makes use of the Brinkman penalization in order to cope with the mechanical part of the problem.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2023

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    SIAM Journal on Mathematical Analysis

  • ISSN

    0036-1410

  • e-ISSN

    1095-7154

  • Volume of the periodical

    55

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    37

  • Pages from-to

    929-965

  • UT code for WoS article

    000995791100007

  • EID of the result in the Scopus database

    2-s2.0-85159770000