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FLUID DYNAMIC LIMIT TO THE RIEMANN SOLUTIONS OF EULER EQUATIONS: I. SUPER POSITION OF RAREFACTION WAVES AND CONTACT DISCONTINUITY

文献类型：期刊论文

作者Huang, Feimin1,2; Wang, Yi1,2; Yang, Tong3
刊名KINETIC AND RELATED MODELS
出版日期2010-12-01
卷号3期号:4页码:685-728
关键词Compressible Navier-Stokes equations Boltzmann equation rarefaction wave contact discontinuity fluid dynamic limit
ISSN号1937-5093
DOI10.3934/krm.2010.3.685
英文摘要Fluid dynamic limit to compressible Euler equations from compressible Navier-Stokes equations and Boltzmann equation has been an active topic with limited success so far. In this paper, we consider the case when the solution of the Euler equations is a Riemann solution consisting two rarefaction waves and a contact discontinuity and prove this limit for both Navier-Stokes equations and the Boltzmann equation when the viscosity, heat conductivity coefficients and the Knudsen number tend to zero respectively. In addition, the uniform convergence rates in terms of the above physical parameters are also obtained. It is noted that this is the first rigorous proof of this limit for a Riemann solution with superposition of three waves even though the fluid dynamic limit for a single wave has been proved.
资助项目NSFC[10825102] ; NSFC[10801128] ; NSFC[10871082] ; 973 project of China[2006CB805902] ; General Research Fund of Hong Kong[104310] ; NSFC-NSAF[10676037]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000284106800004
出版者AMER INST MATHEMATICAL SCIENCES
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/10363]  
专题应用数学研究所
通讯作者Huang, Feimin
作者单位1.Acad Sinica, AMSS, Inst Appl Math, Beijing 100190, Peoples R China
2.Acad Sinica, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
3.City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
推荐引用方式
GB/T 7714		 Huang, Feimin,Wang, Yi,Yang, Tong. FLUID DYNAMIC LIMIT TO THE RIEMANN SOLUTIONS OF EULER EQUATIONS: I. SUPER POSITION OF RAREFACTION WAVES AND CONTACT DISCONTINUITY[J]. KINETIC AND RELATED MODELS,2010,3(4):685-728.
APA Huang, Feimin,Wang, Yi,&Yang, Tong.(2010).FLUID DYNAMIC LIMIT TO THE RIEMANN SOLUTIONS OF EULER EQUATIONS: I. SUPER POSITION OF RAREFACTION WAVES AND CONTACT DISCONTINUITY.KINETIC AND RELATED MODELS,3(4),685-728.
MLA Huang, Feimin,et al."FLUID DYNAMIC LIMIT TO THE RIEMANN SOLUTIONS OF EULER EQUATIONS: I. SUPER POSITION OF RAREFACTION WAVES AND CONTACT DISCONTINUITY".KINETIC AND RELATED MODELS 3.4(2010):685-728.

入库方式： OAI收割

来源：数学与系统科学研究院

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