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Navier-Stokes-Fourier system with general boundary conditions
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SYSNO ASEP 0544648 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Navier-Stokes-Fourier system with general boundary conditions Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID
Novotný, A. (FR)Source Title Communications in Mathematical Physics. - : Springer - ISSN 0010-3616
Roč. 386, č. 2 (2021), s. 975-1010Number of pages 36 s. Language eng - English Country DE - Germany Keywords Navier-Stokes-Fourier system ; boundary condition Subject RIV BA - General Mathematics OECD category Pure mathematics Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000642363600001 EID SCOPUS 85104943607 DOI 10.1007/s00220-021-04091-1 Annotation We consider the Navier–Stokes–Fourier system in a bounded domain Ω ⊂ Rd, d= 2 , 3 , with physically realistic in/out flow boundary conditions. We develop a new concept of weak solutions satisfying a general form of relative energy inequality. The weak solutions exist globally in time for any finite energy initial data and comply with the weak–strong uniqueness principle. 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/s00220-021-04091-1
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