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arXiv · 1711.10042

Flow of heat conducting fluid in a time dependent domain

Ondrej Kreml·Vaclav Macha·Sarka Necasova·Aneta Wroblewska-Kaminska
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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.

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Ondrej Kreml, Vaclav Macha, Sarka Necasova, Aneta Wroblewska-Kaminska. 2017-11-27. Flow of heat conducting fluid in a time dependent domain. https://arxiv.org/abs/1711.10042

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