Compressible Navier-Stokes Equations with hyperbolic heat conduction

被引：23

作者：

Hu, Yuxi ^{[1
]}

机构：

[1] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China

来源：

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | 2016年 / 13卷 / 02期

关键词：

Compressible Navier-Stokes; hyperbolic heat conduction; global solution; singular limit; INITIAL DATA; 2ND SOUND; THERMOELASTICITY; FLUIDS; MOTION;

D O I：

10.1142/S0219891616500077

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the system of compressible Navier-Stokes equations with hyperbolic heat conduction, i.e. replacing the Fourier's law by Cattaneo's law. First, by using Kawashima's condition on general hyperbolic parabolic systems, we show that for small relaxation time T, global smooth solution exists for small initial data. Moreover, as T goes to zero, we obtain the uniform convergence of solutions of the relaxed system to that of the classical compressible Navier-Stokes equations.

引用

页码：233 / 247

页数：15

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