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Weak solutions to the full Navier-Stokes-Fourier system with slip boundary conditions in time dependent domains
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SYSNO ASEP 0483129 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Weak solutions to the full Navier-Stokes-Fourier system with slip boundary conditions in time dependent domains 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 de Mathematiques Pures et Appliquees. - : Elsevier - ISSN 0021-7824
Roč. 109, January (2018), s. 67-92Number of pages 26 s. Language eng - English Country NL - Netherlands Keywords compressible Navier–Stokes–Fourier equations ; time-varying domain ; slip boundary conditions Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA13-00522S GA ČR - Czech Science Foundation (CSF) 7AMB16PL060 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Institutional support MU-W - RVO:67985840 UT WOS 000423249000002 EID SCOPUS 85033602102 DOI 10.1016/j.matpur.2017.09.013 Annotation We consider the compressible Navier–Stokes–Fourier system on time-dependent domains with prescribed motion of the boundary, supplemented with slip boundary conditions for the velocity. Assuming that the pressure can be decomposed into an elastic part and a thermal part, we prove global-in-time existence of weak solutions. Our approach is based on the penalization of the boundary behavior, viscosity, and the pressure in the weak formulation. Moreover, the thermal energy equation is in the weak formulation replaced by the thermal energy inequality complemented with the global total energy inequality. In the approximation scheme the thermal energy inequality is considered to be satisfied in the renormalized sense. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2018
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