ONE-DIMENSIONAL VISCOUS RADIATIVE GAS WITH TEMPERATURE DEPENDENT VISCOSITY
He, Lin1; Liao, Yongkai2,3; Wang, Tao2,3; Zhao, Huijiang2,3
刊名ACTA MATHEMATICA SCIENTIA
2018-09-01
卷号38期号:5页码:1515-1548
关键词compressible Navier Stokes system temperature-dependent viscosity viscous radiative gas global solution asymptotic behavior
ISSN号0252-9602
DOI10.1016/S0252-9602(18)30830-0
英文摘要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.
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
语种英语
出版者ELSEVIER SCIENCE INC
WOS记录号WOS:000446808900005
内容类型期刊论文
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/31493]  
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.
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