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arXiv · 2109.01767

A model of a non-isothermal two phase flow of compressible fluids

Eduard Feireisl·Madalina Petcu·Bangwei She
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Abstract

We introduce a simple model of the time evolution of a binary mixture of compressible fluids including the thermal effects. Despite its apparent simplicity, the model is thermodynamically consistent admitting an entropy balance equation. We introduce a suitable weak formulation of the problem based on a combination of the entropy inequality with the total energy conservation principle. Finally, we show compactness of any bounded family of weak solutions and establish a global existence result.

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Eduard Feireisl, Madalina Petcu, Bangwei She. 2021-09-04. A model of a non-isothermal two phase flow of compressible fluids. https://arxiv.org/abs/2109.01767

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