ONE-DIMENSIONAL VISCOUS RADIATIVE GAS WITH TEMPERATURE DEPENDENT VISCOSITY

doi:10.1016/S0252-9602(18)30830-0

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	ONE-DIMENSIONAL VISCOUS RADIATIVE GAS WITH TEMPERATURE DEPENDENT VISCOSITY
	He, Lin 1; Liao, Yongkai 2,3; Wang, Tao 2,3; Zhao, Huijiang 2,3
	2018-09-01
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	38 期号:5 页码:1515-1548
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.
关键词	compressible Navier Stokes system temperature-dependent viscosity viscous radiative gas global solution asymptotic behavior
DOI	10.1016/S0252-9602(18)30830-0
语种	英语
资助项目	National Natural Science Foundation of China[11601398] ; National Natural Science Foundation of China[11671309] ; National Natural Science Foundation of China[11731008]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000446808900005
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31494
专题	中国科学院数学与系统科学研究院
通讯作者	Liao, Yongkai
作者单位	1.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China 3.Wuhan Univ, Hubei Key Lab Computat Sci, Wuhan 430072, Hubei, Peoples R China
推荐引用方式 GB/T 7714	He, Lin,Liao, Yongkai,Wang, Tao,et al. ONE-DIMENSIONAL VISCOUS RADIATIVE GAS WITH TEMPERATURE DEPENDENT VISCOSITY[J]. ACTA MATHEMATICA SCIENTIA,2018,38(5):1515-1548.
APA	He, Lin,Liao, Yongkai,Wang, Tao,&Zhao, Huijiang.(2018).ONE-DIMENSIONAL VISCOUS RADIATIVE GAS WITH TEMPERATURE DEPENDENT VISCOSITY.ACTA MATHEMATICA SCIENTIA,38(5),1515-1548.
MLA	He, Lin,et al."ONE-DIMENSIONAL VISCOUS RADIATIVE GAS WITH TEMPERATURE DEPENDENT VISCOSITY".ACTA MATHEMATICA SCIENTIA 38.5(2018):1515-1548.