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 LARGE-TIME BEHAVIOR OF SOLUTIONS TO THE INFLOW PROBLEM OF FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS Qin, Xiaohong1; Wang, Yi2,3 2011 Source Publication SIAM JOURNAL ON MATHEMATICAL ANALYSIS ISSN 0036-1410 Volume 43Issue:1Pages:341-366 Abstract 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. Keyword compressible Navier-Stokes equations inflow problem boundary layer solution rarefaction wave viscous contact wave DOI 10.1137/100793463 Language 英语 Funding Project NSFC[10901083] ; NSFC[10801128] ; NUST[2010GJPY025] ; NUST[2010ZYTS063] WOS Research Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000287696400013 Publisher SIAM PUBLICATIONS Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/12511 Collection 应用数学研究所 Corresponding Author Qin, Xiaohong Affiliation 1.Nanjing Univ Sci & Technol, Dept Math, Nanjing 210094, Peoples R China2.Acad Mil Med Sci, Inst Appl Math, Beijing 100190, Peoples R China3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China Recommended CitationGB/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.
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