A model of a nonisothermal two-phase flow of compressible fluids

被引：0
|
作者：
Feireisl, Eduard [1 ]
Petcu, Madalina [2 ,3 ,4 ]
She, Bangwei [1 ,5 ,6 ]
机构：
[1] Acad Sci Czech Republ, Inst Math, Prague, Czech Republic
[2] Univ Poitiers, Lab Math & Applicat, UMR CNRS 7348 SP2MI, Chasseneuil, France
[3] Romanian Acad, Inst Math, Bucharest, Romania
[4] Romanian Acad, Inst Stat & Appl Math, Bucharest, Romania
[5] Charles Univ Prague, Dept Math Anal, Prague, Czech Republic
[6] Capital Normal Univ, Acad Multidisciplinary Studies, Beijing, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 08期
关键词：
Allen-Cahn equation; compressible fluid; Navier-Stokes-Fourier system; two-phase flow; weak solution; DIFFUSE INTERFACE MODEL; EQUATIONS;
D O I：
10.1002/mma.9059
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：9362 / 9377
页数：16
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