LARGE-TIME BEHAVIOR OF SOLUTIONS TO THE INFLOW PROBLEM OF FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS

doi:10.1137/100793463

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	LARGE-TIME BEHAVIOR OF SOLUTIONS TO THE INFLOW PROBLEM OF FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS
	Qin, Xiaohong 1; Wang, Yi2,3
	2011
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	43 期号:1 页码:341-366
摘要	Large-time behavior of solutions to the inflow problem of full compressible Navier-Stokes equations is investigated on the half line R+ = (0,+infinity). The wave structure, which contains four waves-the transonic (or degenerate) boundary layer solution, the 1-rarefaction wave, the viscous 2-contact wave, and the 3-rarefaction wave to the inflow problem-is described, and the asymptotic stability of the superposition of the above four wave patterns to the inflow problem of full compressible Navier-Stokes equations is proven under some smallness conditions. The proof is given by the elementary energy analysis based on the underlying wave structure. The main points in the proof are the treatments of the degeneracies in the transonic boundary layer solution and the wave interactions in the superposition wave.
关键词	compressible Navier-Stokes equations inflow problem boundary layer solution rarefaction wave viscous contact wave
DOI	10.1137/100793463
语种	英语
资助项目	NSFC[10901083] ; NSFC[10801128] ; NUST[2010GJPY025] ; NUST[2010ZYTS063]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000287696400013
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/12511
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 210094, Peoples R China 2.Acad Mil Med Sci, Inst Appl Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Qin, Xiaohong,Wang, Yi. LARGE-TIME BEHAVIOR OF SOLUTIONS TO THE INFLOW PROBLEM OF FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2011,43(1):341-366.
APA	Qin, Xiaohong,&Wang, Yi.(2011).LARGE-TIME BEHAVIOR OF SOLUTIONS TO THE INFLOW PROBLEM OF FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,43(1),341-366.
MLA	Qin, Xiaohong,et al."LARGE-TIME BEHAVIOR OF SOLUTIONS TO THE INFLOW PROBLEM OF FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 43.1(2011):341-366.