0572038 - MÚ 2024 RIV US eng J - Journal Article
Feireisl, Eduard - Petcu, M. - She, Bangwei
A model of a nonisothermal two-phase flow of compressible fluids.
Mathematical Methods in the Applied Sciences. Roč. 46, č. 8 (2023), s. 9362-9377. ISSN 0170-4214. E-ISSN 1099-1476
R&D Projects: GA MŠMT(CZ) 8J20FR007
Institutional support: RVO:67985840
Keywords : Allen-Cahn equation * compressible fluid * Navier-Stokes-Fourier system * two-phase flow
OECD category: Pure mathematics
Impact factor: 2.1, year: 2023
Method of publishing: Limited access
https://doi.org/10.1002/mma.9059

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.
Permanent Link: https://hdl.handle.net/11104/0342879