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Stationary solutions of the Navier-Stokes-Fourier system in planar domains with impermeable boundary
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SYSNO ASEP 0531288 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Stationary solutions of the Navier-Stokes-Fourier system in planar domains with impermeable boundary Author(s) Ciuperca, I. S. (FR)
Feireisl, Eduard (MU-W) RID, SAI, ORCID
Jai, M. (FR)
Petrov, A. (FR)Source Title Journal de Mathematiques Pures et Appliquees. - : Elsevier - ISSN 0021-7824
Roč. 140, August (2020), s. 110-138Number of pages 29 s. Language eng - English Country NL - Netherlands Keywords Navier-Stokes-Fourier system ; stationary solution ; inhomogeneous boundary conditions ; Trudinger–Moser inequality Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA18-05974S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000551502200004 EID SCOPUS 85087413801 DOI 10.1016/j.matpur.2020.06.001 Annotation The existence of weak solutions to the Navier-Stokes-Fourier system describing the stationary states of a compressible, viscous, and heat conducting fluid in bounded 2D-domains is shown under fairly general and physically relevant constitutive relations. The equation of state of a real fluid is considered, where the admissible range of density is confined to a bounded interval (hard sphere model). The transport coefficients depend on the temperature in a general way including both gases and liquids behavior. The heart of the paper are new a priori bounds resulting from Trudinger-Moser inequality. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2021 Electronic address https://doi.org/10.1016/j.matpur.2020.06.001
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