STABILITY OF VISCOUS CONTACT WAVE FOR COMPRESSIBLE NAVIER-STOKES SYSTEM OF GENERAL GAS WITH FREE BOUNDARY

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	STABILITY OF VISCOUS CONTACT WAVE FOR COMPRESSIBLE NAVIER-STOKES SYSTEM OF GENERAL GAS WITH FREE BOUNDARY
	Huang Feimin; Wang Yong; Zhai Xiaoyun
	2010-11-01
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	30 期号:6 页码:1906-1916
摘要	In this paper, we study the large time behavior of solutions to the nonisentropic Navier-Stokes equations of general gas, where polytropic gas is included as a special case, with a free boundary. First we construct a viscous contact wave which approximates to the contact discontinuity, which is a basic wave pattern of compressible Euler equation, in finite time as the heat conductivity tends to zero. Then we prove the viscous contact wave is asymptotic stable if the initial perturbations and the strength of the contact wave are small. This generalizes our previous result [6] which is only for polytropic gas.
关键词	Navier-Stokes equations contact discontinuity viscous contact wave
语种	英语
资助项目	NSFC[10825102] ; NSFC-NSAF[10676037] ; 973 project of China[2006CB805902]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000284793000007
出版者	ELSEVIER SCIENCE 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/9333
专题	应用数学研究所
通讯作者	Wang Yong
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Huang Feimin,Wang Yong,Zhai Xiaoyun. STABILITY OF VISCOUS CONTACT WAVE FOR COMPRESSIBLE NAVIER-STOKES SYSTEM OF GENERAL GAS WITH FREE BOUNDARY[J]. ACTA MATHEMATICA SCIENTIA,2010,30(6):1906-1916.
APA	Huang Feimin,Wang Yong,&Zhai Xiaoyun.(2010).STABILITY OF VISCOUS CONTACT WAVE FOR COMPRESSIBLE NAVIER-STOKES SYSTEM OF GENERAL GAS WITH FREE BOUNDARY.ACTA MATHEMATICA SCIENTIA,30(6),1906-1916.
MLA	Huang Feimin,et al."STABILITY OF VISCOUS CONTACT WAVE FOR COMPRESSIBLE NAVIER-STOKES SYSTEM OF GENERAL GAS WITH FREE BOUNDARY".ACTA MATHEMATICA SCIENTIA 30.6(2010):1906-1916.