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

doi:10.3934/krm.2010.3.685

CSpace > 应用数学研究所

	FLUID DYNAMIC LIMIT TO THE RIEMANN SOLUTIONS OF EULER EQUATIONS: I. SUPER POSITION OF RAREFACTION WAVES AND CONTACT DISCONTINUITY
	Huang, Feimin1,2 ; Wang, Yi1,2 ; Yang, Tong 3
	2010-12-01
发表期刊	KINETIC AND RELATED MODELS
ISSN	1937-5093
卷号	3 期号:4 页码:685-728
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.
关键词	Compressible Navier-Stokes equations Boltzmann equation rarefaction wave contact discontinuity fluid dynamic limit
DOI	10.3934/krm.2010.3.685
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000284106800004
出版者	AMER INST MATHEMATICAL SCIENCES
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10364
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.