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Rigorous derivation of the Oberbeck-Boussinesq approximation revealing unexpected term
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SYSNO ASEP 0577220 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Rigorous 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, ORCIDSource Title Communications in Mathematical Physics. - : Springer - ISSN 0010-3616
Roč. 403, č. 3 (2023), s. 1245-1273Number of pages 29 s. Language eng - English Country DE - Germany Keywords Oberbeck-Boussinesq approximation ; Navier-Stokes-Fourier system ; Mach number Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA21-02411S GA ČR - Czech Science Foundation (CSF) Method of publishing Open access Institutional support MU-W - RVO:67985840 UT WOS 001049106500002 EID SCOPUS 85168158666 DOI 10.1007/s00220-023-04823-5 Annotation We 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2024 Electronic address https://doi.org/10.1007/s00220-023-04823-5
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