THE INVISCID LIMIT TO A CONTACT DISCONTINUITY FOR THE COMPRESSIBLE NAVIER-STOKES-FOURIER SYSTEM USING THE RELATIVE ENTROPY METHOD

doi:10.1137/15M1023439

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	THE INVISCID LIMIT TO A CONTACT DISCONTINUITY FOR THE COMPRESSIBLE NAVIER-STOKES-FOURIER SYSTEM USING THE RELATIVE ENTROPY METHOD
	Vasseur, Alexis 1; Wang, Yi2,3
	2015
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	47 期号:6 页码:4350-4359
摘要	We consider the zero heat conductivity limit to a contact discontinuity for the mono-dimensional full compressible Navier-Stokes-Fourier system. The method is based on the relative entropy method and does not assume any smallness conditions on the discontinuity nor on the bounded variation norm of the initial data. It is proved that for any viscosity v >= 0, the solution of the compressible Navier-Stokes-Fourier system (with well-prepared initial value) converges, when the heat conductivity kappa tends to zero, to the contact discontinuity solution to the corresponding Euler system. We obtain the decay rate kappa(1/2). It implies that the heat conductivity dominates the dissipation in the regime of the limit to a contact discontinuity. This is the first result, based on the relative entropy, of an asymptotic limit to a discontinuous solution for a system.
关键词	contact discontinuity inviscid limit compressible Navier-Stokes-Fourier system relative entropy method
DOI	10.1137/15M1023439
语种	英语
资助项目	NSF[DMS 1209420] ; NSFC[11171326] ; NSFC[11322106] ; Youth Innovation Promotion Association, CAS
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000367020000008
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21562
专题	应用数学研究所
通讯作者	Wang, Yi
作者单位	1.Univ Texas Austin, Dept Math, Austin, TX 78712 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, 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	Vasseur, Alexis,Wang, Yi. THE INVISCID LIMIT TO A CONTACT DISCONTINUITY FOR THE COMPRESSIBLE NAVIER-STOKES-FOURIER SYSTEM USING THE RELATIVE ENTROPY METHOD[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2015,47(6):4350-4359.
APA	Vasseur, Alexis,&Wang, Yi.(2015).THE INVISCID LIMIT TO A CONTACT DISCONTINUITY FOR THE COMPRESSIBLE NAVIER-STOKES-FOURIER SYSTEM USING THE RELATIVE ENTROPY METHOD.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,47(6),4350-4359.
MLA	Vasseur, Alexis,et al."THE INVISCID LIMIT TO A CONTACT DISCONTINUITY FOR THE COMPRESSIBLE NAVIER-STOKES-FOURIER SYSTEM USING THE RELATIVE ENTROPY METHOD".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 47.6(2015):4350-4359.