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

文献类型：期刊论文

作者Qin, Xiaohong1; Wang, Yi2,3
刊名SIAM JOURNAL ON MATHEMATICAL ANALYSIS
出版日期2011
卷号43期号:1页码:341-366
关键词compressible Navier-Stokes equations inflow problem boundary layer solution rarefaction wave viscous contact wave
ISSN号0036-1410
DOI10.1137/100793463
英文摘要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.
资助项目NSFC[10901083] ; NSFC[10801128] ; NUST[2010GJPY025] ; NUST[2010ZYTS063]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000287696400013
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/12510]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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