STABILITY OF VISCOUS SHOCK WAVE FOR COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY

doi:10.3934/krm.2010.3.409

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	STABILITY OF VISCOUS SHOCK WAVE FOR COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY
	Huang, Feimin1,2 ; Shi, Xiaoding 3; Wang, Yi1,2
	2010-09-01
发表期刊	KINETIC AND RELATED MODELS
ISSN	1937-5093
卷号	3 期号:3 页码:409-425
摘要	A free boundary problem for the one-dimensional compressible Navier-Stokes equations in Eulerian coordinate is investigated. The stability of the viscous shock wave to the free boundary problem is established under some smallness conditions. The proof is given by an elementary energy method.
关键词	Navier-Stokes equations viscous shock wave stability free boundary
DOI	10.3934/krm.2010.3.409
语种	英语
资助项目	NSFC[10825102] ; NSFC[10801128] ; NSFC-NSAF[10676037] ; 973 project of China[2006CB805902]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000280385300003
出版者	AMER INST MATHEMATICAL SCIENCES
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9437
专题	应用数学研究所
通讯作者	Huang, Feimin
作者单位	1.Acad Mil Med Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Acad Sinica, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Beijing Univ Chem Technol, Dept Math, Grad Sch Sci, Beijing 100029, Peoples R China
推荐引用方式 GB/T 7714	Huang, Feimin,Shi, Xiaoding,Wang, Yi. STABILITY OF VISCOUS SHOCK WAVE FOR COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY[J]. KINETIC AND RELATED MODELS,2010,3(3):409-425.
APA	Huang, Feimin,Shi, Xiaoding,&Wang, Yi.(2010).STABILITY OF VISCOUS SHOCK WAVE FOR COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY.KINETIC AND RELATED MODELS,3(3),409-425.
MLA	Huang, Feimin,et al."STABILITY OF VISCOUS SHOCK WAVE FOR COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY".KINETIC AND RELATED MODELS 3.3(2010):409-425.