ONE-DIMENSIONAL VISCOUS RADIATIVE GAS WITH TEMPERATURE DEPENDENT VISCOSITY
文献类型:期刊论文
作者 | He, Lin1; Liao, Yongkai2,3; Wang, Tao2,3; Zhao, Huijiang2,3 |
刊名 | ACTA MATHEMATICA SCIENTIA
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出版日期 | 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 |
DOI | 10.1016/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 |
WOS记录号 | WOS:000446808900005 |
出版者 | ELSEVIER SCIENCE INC |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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