Flow of heat conducting fluid in a time dependent domain

0493344 - MÚ 2019 RIV CH eng J - Článek v odborném periodiku
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
Grant CEP: GA MŠMT(CZ) 7AMB16PL060; GA ČR(CZ) GA17-01747S
Institucionální podpora: RVO:67985840
Klíčová slova: compressible Navier–Stokes–Fourier equations * entropy inequality * slip boundary conditions * time-varying domain
Obor OECD: Pure mathematics
Impakt faktor: 1.618, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0286716