STABILITY OF WAVE PATTERNS TO THE INFLOW PROBLEM OF FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS

doi:10.1137/09075425X

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	STABILITY OF WAVE PATTERNS TO THE INFLOW PROBLEM OF FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS
	Qin, Xiaohong 1; Wang, Yi2
	2009
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	41 期号:5 页码:2057-2087
摘要	The inflow problem of full compressible Navier-Stokes equations is considered on the half-line (0, +infinity). First, we give the existence (or nonexistence) of the boundary layer solution to the inflow problem when the right end state (rho(+), u(+), theta(+)) belongs to the subsonic, transonic, and supersonic regions, respectively. Then the asymptotic stability of not only the single contact wave but also the superposition of the subsonic boundary layer solution, the contact wave, and the rarefaction wave to the inflow problem are investigated under some smallness conditions. Note that the amplitude of the rarefaction wave is not necessarily small. The proofs are given by the elementary energy method.
关键词	stability of wave patterns inflow problem full compressible Navier-Stokes equations
DOI	10.1137/09075425X
语种	英语
资助项目	NSFC[10801128] ; Chinese Academy of Sciences
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000277835100010
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/7262
专题	应用数学研究所
通讯作者	Qin, Xiaohong
作者单位	1.Nanjing Univ Sci & Technol, Dept Math, Nanjing, Peoples R China 2.CAS, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Qin, Xiaohong,Wang, Yi. STABILITY OF WAVE PATTERNS TO THE INFLOW PROBLEM OF FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2009,41(5):2057-2087.
APA	Qin, Xiaohong,&Wang, Yi.(2009).STABILITY OF WAVE PATTERNS TO THE INFLOW PROBLEM OF FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,41(5),2057-2087.
MLA	Qin, Xiaohong,et al."STABILITY OF WAVE PATTERNS TO THE INFLOW PROBLEM OF FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 41.5(2009):2057-2087.