The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent transport coefficients

doi:10.1142/S0219530514500456

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	The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent transport coefficients
	Li, Mingjie 1; Wang, Teng 2; Wang, Yi2,3
	2015-09-01
发表期刊	ANALYSIS AND APPLICATIONS
ISSN	0219-5305
卷号	13 期号:5 页码:555-589
摘要	In this paper, we study the zero dissipation limit of the one-dimensional full compressible Navier-Stokes equations with temperature-dependent viscosity and heat-conduction coefficient. It is proved that given a rarefaction wave with one-side vacuum state to the full compressible Euler equations, we can construct a sequence of solutions to the full compressible Navier-Stokes equations which converge to the above rarefaction wave with vacuum as the viscosity and the heat-conduction coefficient tend to zero. Moreover, the uniform convergence rate is obtained. The main difficulty in our proof lies in the degeneracies of the density, the temperature and the temperature-dependent viscosities at the vacuum region in the zero dissipation limit.
关键词	Compressible Navier-Stokes equations temperature-dependent transport coefficients zero dissipation limit rarefaction wave vacuum
DOI	10.1142/S0219530514500456
语种	英语
资助项目	NSFC[11201503] ; NSFC[11171326] ; NSFC[11322106]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000357134400004
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20273
专题	应用数学研究所
通讯作者	Wang, Teng
作者单位	1.Minzu Univ China, Coll Sci, Beijing 100081, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 3.Beijing Ctr Math & Informat Sci, Beijing 100048, Peoples R China
推荐引用方式 GB/T 7714	Li, Mingjie,Wang, Teng,Wang, Yi. The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent transport coefficients[J]. ANALYSIS AND APPLICATIONS,2015,13(5):555-589.
APA	Li, Mingjie,Wang, Teng,&Wang, Yi.(2015).The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent transport coefficients.ANALYSIS AND APPLICATIONS,13(5),555-589.
MLA	Li, Mingjie,et al."The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent transport coefficients".ANALYSIS AND APPLICATIONS 13.5(2015):555-589.