A model of a non-isothermal two phase flow of compressible fluids
Analysis of PDEs
2021-09-07 v1
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.
Keywords
Cite
@article{arxiv.2109.01767,
title = {A model of a non-isothermal two phase flow of compressible fluids},
author = {Eduard Feireisl and Madalina Petcu and Bangwei She},
journal= {arXiv preprint arXiv:2109.01767},
year = {2021}
}