Flow of heat conducting fluid in a time dependent domain

0493344 - MÚ 2019 RIV CH eng J - Journal Article
Kreml, Ondřej - Mácha, Václav - Nečasová, Šárka - Wróblewska-Kamińska, A.
Flow of heat conducting fluid in a time dependent domain.
Zeitschrift für angewandte Mathematik und Physik. Roč. 69, č. 5 (2018), č. článku 119. ISSN 0044-2275. E-ISSN 1420-9039
R&D Projects: GA MŠMT(CZ) 7AMB16PL060; GA ČR(CZ) GA17-01747S
Institutional support: RVO:67985840
Keywords : compressible Navier–Stokes–Fourier equations * entropy inequality * slip boundary conditions * time-varying domain
OECD category: Pure mathematics
Impact factor: 1.618, year: 2018
https://link.springer.com/article/10.1007%2Fs00033-018-1012-z

We consider a flow of heat conducting fluid inside a moving domain whose shape in time is prescribed. The flow in this case is governed by the Navier–Stokes–Fourier system consisting of equation of continuity, momentum balance, entropy balance and energy equality. The velocity is supposed to fulfill the full-slip boundary condition and we assume that the fluid is thermally isolated. In the presented article we show the existence of a variational solution.
Permanent Link: http://hdl.handle.net/11104/0286716