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

被引：1

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

页码：9362 / 9377

页数：16

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