ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE HALF SPACE

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	ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE HALF SPACE
	Huang, Feimin1 ; Li, Jing1 ; Shi, Xiaoding 2
	2010-09-01
发表期刊	COMMUNICATIONS IN MATHEMATICAL SCIENCES
ISSN	1539-6746
卷号	8 期号:3 页码:639-654
摘要	The one-dimensional motion of compressible viscous and heat-conductive fluid is investigated in the half space. By examining the sign of fluid velocity prescribed on the boundary, initial boundary value problems with Dirichlet type boundary conditions are classified into three cases: impermeable wall problem, inflow problem and outflow problem. In this paper, the asymptotic stability of the rarefaction wave, boundary layer solution, and their combination is established for both the impermeable wall problem and the inflow problem under some smallness conditions. The proof is given by an elementary energy method.
关键词	Asymptotic behavior of solutions Navier-Stokes equations boundary layer rarefaction wave
语种	英语
资助项目	JSPS ; ministry of Education, Science, Sports, and Culture of Japan[P-00269]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000278450200002
出版者	INT PRESS BOSTON, INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10036
专题	应用数学研究所数学所
通讯作者	Huang, Feimin
作者单位	1.Acad Sinica, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 2.Beijing Univ Technol & Chem, Dept Math, Grad Sch Sci, Beijing 100029, Peoples R China
推荐引用方式 GB/T 7714	Huang, Feimin,Li, Jing,Shi, Xiaoding. ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE HALF SPACE[J]. COMMUNICATIONS IN MATHEMATICAL SCIENCES,2010,8(3):639-654.
APA	Huang, Feimin,Li, Jing,&Shi, Xiaoding.(2010).ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE HALF SPACE.COMMUNICATIONS IN MATHEMATICAL SCIENCES,8(3),639-654.
MLA	Huang, Feimin,et al."ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE HALF SPACE".COMMUNICATIONS IN MATHEMATICAL SCIENCES 8.3(2010):639-654.