Global solvability of the initial boundary value problem for a model system of one-dimensional equations of polytropic flows of viscous compressible fluid mixtures

被引：9

作者：

Prokudin, Dmitriy ^{[1
,2
]}

机构：

[1] Lavrentyev Inst Hydrodynam, Novosibirsk 630090, Russia

[2] Voronezh State Univ, Voronezh 394018, Russia

来源：

ALL-RUSSIAN CONFERENCE WITH INTERNATIONAL PARTICIPATION MODERN PROBLEMS OF CONTINUUM MECHANICS AND EXPLOSION PHYSICS DEDICATED TO THE 60TH ANNIVERSARY OF LAVRENTYEV INSTITUTE OF HYDRODYNAMICS SB RAS | 2017年 / 894卷

关键词：

D O I：

10.1088/1742-6596/894/1/012076

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We consider the initial boundary value problem for a model system of one-dimensional equations which describe unsteady polytropic motions of a mixture of viscous compressible fluids. We prove the global existence and uniqueness theorem for the strong solution without restrictions on the structure of the viscosity matrix except standard properties of symmetry and positiveness.

引用

页数：6

共 50 条

[31] On the solvability of a boundary value problem for model equations of linearly viscous materials [J].

Belov, SY ;

Belov, VY .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 200 (03) :635-652

[32] Uniqueness Of A Solution Of The Cauchy Problem For One-Dimensional Compressible Viscous Micropolar Fluid Model [J].

Mujakovic, Nermina .

APPLIED MATHEMATICS E-NOTES, 2006, 6 :113-118

[33] One-Dimensional Compressible Viscous Micropolar Fluid Model: Stabilization of the Solution for the Cauchy Problem [J].

Mujakovic, Nermina .

BOUNDARY VALUE PROBLEMS, 2010,

[34] One-Dimensional Compressible Viscous Micropolar Fluid Model: Stabilization of the Solution for the Cauchy Problem [J].

Nermina Mujaković .

Boundary Value Problems, 2010

[35] GLOBAL WEAK SOLUTIONS TO ONE-DIMENSIONAL COMPRESSIBLE VISCOUS HYDRODYNAMIC EQUATIONS [J].

Guo, Boling ;

Xi, Xiaoyu .

ACTA MATHEMATICA SCIENTIA, 2017, 37 (03) :573-583

[36] Unique global solvability for initial-boundary value problems in one-dimensional nonlinear thermoviscoelasticity [J].

Watson, SJ .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2000, 153 (01) :1-37

[37] ON THE SOLVABILITY OF INITIAL-BOUNDARY VALUE PROBLEMS FOR A VISCOUS COMPRESSIBLE FLUID IN AN INFINITE TIME INTERVAL [J].

Solonnikov, V. A. .

ST PETERSBURG MATHEMATICAL JOURNAL, 2016, 27 (03) :523-546

[38] Unique Global Solvability for¶Initial-Boundary Value Problems¶in One-Dimensional Nonlinear Thermoviscoelasticity [J].

Stephen J. Watson .

Archive for Rational Mechanics and Analysis, 2000, 153 :1-37

[39] Global solvability and asymptotic behavior of a free boundary problem for the one-dimensional viscous radiative and reactive gas [J].

Jiang, Jie ;

Zheng, Songmu .

JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (12)

[40] THE CLASSIFICATION OF ONE-DIMENSIONAL FLOWS AND THE GENERAL SHOCK PROBLEM OF A COMPRESSIBLE, VISCOUS, HEAT-CONDUCTING FLUID [J].

LUDFORD, GSS .

JOURNAL OF THE AERONAUTICAL SCIENCES, 1951, 18 (12) :830-834

← 1 2 3 4 5 →