GLOBAL NONLINEAR STABILITY OF RAREFACTION WAVES FOR COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH TEMPERATURE AND DENSITY DEPENDENT TRANSPORT COEFFICIENTS

被引：17

作者：

Huang, Bingkang ^{[1
,2
]}

Wang, Lusheng ^{[1
]}

Xiao, Qinghua ^{[3
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

[2] Wuhan Univ, Computat Sci Hubei Key Lab, Wuhan 430072, Peoples R China

[3] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China

来源：

基金：

中国国家自然科学基金;

关键词：

One-dimensional compressible Navier-Stokes equations; temperature and density dependent transport coefficients; global nonlinear stability of rarefaction waves; large initial data; HYPERBOLIC CONSERVATION-LAWS; BOUNDARY-VALUE-PROBLEMS; ONE-DIMENSIONAL MOTION; POLYTROPIC IDEAL-GAS; LARGE-TIME BEHAVIOR; VISCOUS-GAS; UNBOUNDED-DOMAINS; MODEL SYSTEM; SHOCK-WAVES;

D O I：

10.3934/krm.2016004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the nonlinear stability of rarefaction waves to the Cauchy problem of one-dimensional compressible Navier-Stokes equations for a viscous and heat conducting ideal polytropic gas when the transport coefficients depend on both temperature and density. When the strength of the rarefaction waves is small or the rarefaction waves of different families are separated far enough initially, we show that rarefaction waves are nonlinear stable provided that (gamma - 1).H-3(R)-norm of the initial perturbation is suitably small with gamma > 1 being the adiabatic gas constant.

引用

页码：469 / 514

页数：46

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