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Rigorous derivation of the Oberbeck-Boussinesq approximation revealing unexpected term

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    SYSNO ASEP0577220
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleRigorous derivation of the Oberbeck-Boussinesq approximation revealing unexpected term
    Author(s) Bella, P. (DE)
    Feireisl, Eduard (MU-W) RID, SAI, ORCID
    Oschmann, Florian (MU-W) SAI, ORCID
    Source TitleCommunications in Mathematical Physics. - : Springer - ISSN 0010-3616
    Roč. 403, č. 3 (2023), s. 1245-1273
    Number of pages29 s.
    Languageeng - English
    CountryDE - Germany
    KeywordsOberbeck-Boussinesq approximation ; Navier-Stokes-Fourier system ; Mach number
    Subject RIVBA - General Mathematics
    OECD categoryPure mathematics
    R&D ProjectsGA21-02411S GA ČR - Czech Science Foundation (CSF)
    Method of publishingOpen access
    Institutional supportMU-W - RVO:67985840
    UT WOS001049106500002
    EID SCOPUS85168158666
    DOI10.1007/s00220-023-04823-5
    AnnotationWe consider a general compressible viscous and heat conducting fluid confined between two parallel plates and heated from the bottom. The time evolution of the fluid is described by the Navier-Stokes-Fourier system considered in the regime of low Mach and Froude numbers suitably interrelated. Surprisingly and differently to the case of Neumann boundary conditions for the temperature, the asymptotic limit is identified as the Oberbeck-Boussinesq system supplemented with non-local boundary conditions for the temperature deviation.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2024
    Electronic addresshttps://doi.org/10.1007/s00220-023-04823-5
Number of the records: 1  

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