Global strong solution to compressible Navier-Stokes equations with density dependent viscosity and temperature dependent heat conductivity

被引：30

作者：

Duan, Ran ^{[1
]}

Guo, Ai ^{[2
]}

Zhu, Changjiang ^{[2
]}

机构：

[1] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China

[2] South China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年 / 262卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Compressible Navier-Stokes equations; Density dependent viscosity; Temperature dependent heat; conductivity; Stress-free; Thermally insulated; BOUNDARY-VALUE-PROBLEMS; ONE-DIMENSIONAL MOTION; SMOOTH SOLUTIONS; GAS;

D O I：

10.1016/j.jde.2017.01.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain existence and uniqueness of global strong solution to one-dimensional compressible Navier-Stokes equations for ideal polytropic gas flow, with density dependent viscosity and temperature dependent heat conductivity under stress-free and thermally insulated boundary conditions. Here we assume viscosity coefficient mu(p) = 1 + p(alpha) and heat conductivity coefficient kappa(theta) = theta(beta) for all alpha is an element of E [0, infinity) and beta is an element of(0, +infinity). (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：4314 / 4335

页数：22

共 29 条

[1] SOLVABILITY IN THE LARGE OF A SYSTEM OF EQUATIONS OF THE ONE-DIMENSIONAL MOTION OF AN INHOMOGENEOUS VISCOUS HEAT-CONDUCTING GAS [J].

AMOSOV, AA ;

ZLOTNIK, AA .

MATHEMATICAL NOTES, 1992, 52 (1-2) :753-763

[2]

[Anonymous], 1998, J PART DIFF EQS

[3]

ANTONTSEV SN, 1990, BOUNDARY VALUE PROBL

[4]

Cercignani Carlo, 1994, Applied Mathematical Sciences, V106

[5]

Chapman S., 1990, Cambridge Mathematical Library, V3

[6] GLOBAL SMOOTH SOLUTIONS TO THE INITIAL-BOUNDARY VALUE-PROBLEM FOR THE EQUATIONS OF ONE-DIMENSIONAL NON-LINEAR THERMOVISCOELASTICITY [J].

DAFERMOS, CM .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1982, 13 (03) :397-408

[7] GLOBAL SMOOTH THERMOMECHANICAL PROCESSES IN ONE-DIMENSIONAL NON-LINEAR THERMOVISCOELASTICITY [J].

DAFERMOS, CM ;

HSIAO, L .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1982, 6 (05) :435-454

[8] ONE-DIMENSIONAL COMPRESSIBLE FLOW WITH TEMPERATURE DEPENDENT TRANSPORT COEFFICIENTS [J].

Jenssen, Helge Kristian ;

Karper, Trygve Klovning .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2010, 42 (02) :904-930

[9] ON INITIAL-BOUNDARY VALUE-PROBLEMS FOR A VISCOUS, HEAT-CONDUCTING, ONE-DIMENSIONAL REAL-GAS [J].

JIANG, S .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1994, 110 (02) :157-181

[10] Global smooth solutions of the equations of a viscous, heat-conducting, one-dimensional gas with density-dependent viscosity [J].

Jiang, S .

MATHEMATISCHE NACHRICHTEN, 1998, 190 :169-183

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