Steady Solutions to Equations of Viscous Compressible Multifluids

被引：0

作者：

Mamontov, Alexander ^{[1
,2
]}

Prokudin, Dmitriy ^{[1
,3
]}

机构：

[1] Russian Acad Sci, Lavrentyev Inst Hydrodynam, Siberian Branch, Lavrentyev Pr 15, Novosibirsk 630090, Russia

[2] Altai State Univ, Lab Math & Comp Modeling Nat & Ind Syst, Lenin Pr 61, Barnaul 656049, Russia

[3] Siberian State Univ Telecommun & Informat Sci, Dept Higher Math, Kirova Str 86, Novosibirsk 630102, Russia

来源：

AXIOMS | 2024年 / 13卷 / 06期

关键词：

viscous compressible multifluid; viscosity matrix; barotropic flow; boundary value problem; weak generalized solution; existence theorem; BOUNDARY-VALUE PROBLEM; 2-VELOCITY HYDRODYNAMICS; DIFFERENTIAL-EQUATIONS; WEAK SOLUTIONS; EXISTENCE; MOTION; SOLUBILITY; MIXTURES;

D O I：

10.3390/axioms13060362

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the differential equations of the barotropic dynamics of compressible viscous multifluids in a bounded three-dimensional domain with an immobile rigid boundary, a study of the solvability of the boundary value problem is made. Weak generalized solutions to the boundary value problem are shown to exist with weak constraints on the types of viscosity matrices and constitutive equations for pressure and momentum exchange.

引用

页数：24

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