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Measure-valued solutions and weak-strong uniqueness for the incompressible inviscid fluid-rigid body interaction

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    SYSNO ASEP0542432
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleMeasure-valued solutions and weak-strong uniqueness for the incompressible inviscid fluid-rigid body interaction
    Author(s) Caggio, M. (HR)
    Kreml, Ondřej (MU-W) RID, SAI, ORCID
    Nečasová, Šárka (MU-W) RID, SAI, ORCID
    Roy, Arnab (MU-W) SAI, ORCID, RID
    Tang, T. (CN)
    Article number50
    Source TitleJournal of Mathematical Fluid Mechanics - ISSN 1422-6928
    Roč. 23, č. 3 (2021)
    Number of pages24 s.
    Languageeng - English
    CountryCH - Switzerland
    KeywordsEuler equations ; fluid-rigid body interaction ; measure-valued solutions ; weak–strong uniqueness
    Subject RIVBA - General Mathematics
    OECD categoryPure mathematics
    R&D ProjectsGA19-04243S GA ČR - Czech Science Foundation (CSF)
    Method of publishingLimited access
    Institutional supportMU-W - RVO:67985840
    UT WOS000647419800007
    EID SCOPUS85105487425
    DOI10.1007/s00021-021-00581-3
    AnnotationWe consider a coupled system of partial and ordinary differential equations describing the interaction between an incompressible inviscid fluid and a rigid body moving freely inside the fluid. We prove the existence of measure-valued solutions which is generated by the vanishing viscosity limit of incompressible fluid–rigid body interaction system under some physically constitutive relations. Moreover, we show that the measure-valued solution coincides with strong solution on the interval of its existence. This relies on the weak-strong uniqueness analysis. This is the first result of an existence of measure-valued solution and weak-strong uniqueness in measure-valued sense in the case of inviscid fluid-structure interaction.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2022
    Electronic addresshttps://doi.org/10.1007/s00021-021-00581-3
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