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Low stratification of a heat-conducting fluid in time-dependent domain
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SYSNO ASEP 0549713 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Low stratification of a heat-conducting fluid in time-dependent domain Author(s) Kreml, Ondřej (MU-W) RID, SAI, ORCID
Mácha, Václav (MU-W) RID, SAI, ORCID
Nečasová, Šárka (MU-W) RID, SAI, ORCID
Wróblewska-Kamińska, A. (PL)Source Title Journal of Evolution Equations. - : Springer - ISSN 1424-3199
Roč. 21, č. 3 (2021), s. 3421-3447Number of pages 27 s. Language eng - English Country CH - Switzerland Keywords low Mach number ; Navier-Stokes-Fourier system Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA16-03230S GA ČR - Czech Science Foundation (CSF) GA19-04243S GA ČR - Czech Science Foundation (CSF) 7AMB16PL060 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000604152600004 EID SCOPUS 85098523683 DOI 10.1007/s00028-020-00653-3 Annotation We study the low Mach number limit of the full Navier-Stokes-Fourier system in the case of low stratification with ill-prepared initial data for the problem stated on a moving domain with a prescribed motion of the boundary. Similarly as in the case of a fixed domain, we recover as a limit the Oberback–Boussinesq system, however, we identify one additional term in the temperature equation of the limit system which is related to the motion of the domain and which is not present in the case of a fixed domain. One of the main ingredients in the proof is the properties of the Helmholtz decomposition on moving domains and the dependence of eigenvalues and eigenspaces of the Neumann Laplace operator on time. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2022 Electronic address https://doi.org/10.1007/s00028-020-00653-3
Number of the records: 1