Flow of heat conducting fluid in a time dependent domain
Analysis of PDEs
2017-11-29 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1711.10042,
title = {Flow of heat conducting fluid in a time dependent domain},
author = {Ondrej Kreml and Vaclav Macha and Sarka Necasova and Aneta Wroblewska-Kaminska},
journal= {arXiv preprint arXiv:1711.10042},
year = {2017}
}