ONE-DIMENSIONAL VISCOUS RADIATIVE GAS WITH TEMPERATURE DEPENDENT VISCOSITY

被引：0
|
作者：
何躏 [1 ]
廖勇凯 [2 ,3 ]
王涛 [2 ,3 ]
赵会江 [2 ,3 ]
机构：
[1] Institute of Applied Mathematics, Academy of Mathematics and System Science The Chinese Academy of Sciences
[2] School of Mathematics and Statistics, Wuhan University
[3] Hubei Key Laboratory of Computational Science, Wuhan University
来源：
Acta Mathematica Scientia | 2018年 / 38卷 / 05期
基金：
中国国家自然科学基金;
关键词：
compressible Navier–Stokes system; temperature-dependent viscosity; viscous radiative gas; global solution; asymptotic behavior;
D O I：
暂无
中图分类号：
O354 [气体动力学（可压缩流体力学）];
学科分类号：
080103 ; 080704 ;
摘要：
This paper is concerned with the construction of global, large amplitude solutions to the Cauchy problem of the one-dimensional compressible Navier–Stokes system for a viscous radiative gas when the viscosity and heat conductivity coefficients depend on both specific volume and absolute temperature. The data are assumed to be without vacuum,mass concentrations, or vanishing temperatures, and the same is shown to be hold for the global solution constructed. The proof is based on some detailed analysis on uniform positive lower and upper bounds of the specific volume and absolute temperature.
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页码：1515 / 1548
页数：34
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