Asymptotic Stability of Combination of Viscous Contact Wave with Rarefaction Waves for One-Dimensional Compressible Navier-Stokes System

doi:10.1007/s00205-009-0267-0

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	Asymptotic Stability of Combination of Viscous Contact Wave with Rarefaction Waves for One-Dimensional Compressible Navier-Stokes System
	Huang, Feimin1,2 ; Li, Jing1,2,3 ; Matsumura, Akitaka 3
	2010-07-01
发表期刊	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN	0003-9527
卷号	197 期号:1 页码:89-116
摘要	We are concerned with the large-time behavior of solutions of the Cauchy problem to the one-dimensional compressible Navier-Stokes system for ideal polytropic fluids, where the far field states are prescribed. When the corresponding Riemann problem for the compressible Euler system admits the solution consisting of contact discontinuity and rarefaction waves, it is proved that for the one-dimensional compressible Navier-Stokes system, the combination wave of a "viscous contact wave", which corresponds to the contact discontinuity, with rarefaction waves is asymptotically stable, provided the strength of the combination wave is suitably small. This result is proved by using elementary energy methods.
DOI	10.1007/s00205-009-0267-0
语种	英语
资助项目	NSFC[10825102] ; NSFC[10471138] ; NSFC-NSAF[10676037] ; 973 project of China[2006CB805902] ; JSPS ; NNSFC[10601059] ; NNSFC[10971215] ; [19340037]
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000277784700002
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10885
专题	应用数学研究所数学所
通讯作者	Huang, Feimin
作者单位	1.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Osaka Univ, Grad Sch Informat Sci & Technol, Dept Pure & Appl Math, Osaka 5600043, Japan
推荐引用方式 GB/T 7714	Huang, Feimin,Li, Jing,Matsumura, Akitaka. Asymptotic Stability of Combination of Viscous Contact Wave with Rarefaction Waves for One-Dimensional Compressible Navier-Stokes System[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2010,197(1):89-116.
APA	Huang, Feimin,Li, Jing,&Matsumura, Akitaka.(2010).Asymptotic Stability of Combination of Viscous Contact Wave with Rarefaction Waves for One-Dimensional Compressible Navier-Stokes System.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,197(1),89-116.
MLA	Huang, Feimin,et al."Asymptotic Stability of Combination of Viscous Contact Wave with Rarefaction Waves for One-Dimensional Compressible Navier-Stokes System".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 197.1(2010):89-116.