Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier-Stokes equations under large perturbation

doi:10.1016/j.jde.2009.01.017

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	Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier-Stokes equations under large perturbation
	Huang, Feimin2 ; Qin, Xiaohong 1
	2009-05-15
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	246 期号:10 页码:4077-4096
摘要	In this paper, we investigate the large-time behavior of solutions to an outflow problem for compressible Navier-Stokes equations. In 2003, Kawashima, Nishibata and Zhu [S. Kawashima, S. Nishibata, R Zhu, Asymptotic stability of the stationary Solution to the compressible Navier-Stokes equations in the half space, Comm. Math. Phys. 240 (2003) 483-500] showed there exists a boundary layer (i.e., stationary solution) to the Outflow problem and the boundary layer is nonlinearly stable under small initial perturbation. In the present paper, we show that not only the boundary layer above but also the superposition of a boundary layer and a rarefaction wave are stable under large initial perturbation. The proofs are given by an elementary energy method. (C) 2009 Elsevier Inc. All rights reserved.
关键词	Compressible Navier-Stokes equations Stability Boundary layer Rarefaction wave Urge perturbation
DOI	10.1016/j.jde.2009.01.017
语种	英语
资助项目	NSFC-NSAF[10676037] ; 973 Program of China[2006CB805902] ; NUST
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000265443900012
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9154
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 Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Huang, Feimin,Qin, Xiaohong. Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier-Stokes equations under large perturbation[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2009,246(10):4077-4096.
APA	Huang, Feimin,&Qin, Xiaohong.(2009).Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier-Stokes equations under large perturbation.JOURNAL OF DIFFERENTIAL EQUATIONS,246(10),4077-4096.
MLA	Huang, Feimin,et al."Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier-Stokes equations under large perturbation".JOURNAL OF DIFFERENTIAL EQUATIONS 246.10(2009):4077-4096.