REMARKS ON THE FREE BOUNDARY PROBLEM OF COMPRESSIBLE EULER EQUATIONS IN PHYSICAL VACUUM WITH GENERAL INITIAL DENSITIES

doi:10.3934/dcdsb.2015.20.2885

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	REMARKS ON THE FREE BOUNDARY PROBLEM OF COMPRESSIBLE EULER EQUATIONS IN PHYSICAL VACUUM WITH GENERAL INITIAL DENSITIES
	Hao, Chengchun1,2,3
	2015-11-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
ISSN	1531-3492
卷号	20 期号:9 页码:2885-2931
摘要	In this paper, we establish a priori estimates for three-dimensional compressible Euler equations with the moving physical vacuum boundary, the gamma-gas law equation of state for gamma = 2 and the general initial density rho(0) is an element of H-5. Because of the degeneracy of the initial density, we investigate the estimates of the horizontal spatial and time derivatives and then obtain the estimates of the normal or full derivatives through the elliptic-type estimates. We derive a mixed space-time interpolation inequality which plays a vital role in our energy estimates and obtain some extra estimates for the space-time derivatives of the velocity in L-3.
关键词	Compressible Euler equations physical vacuum free boundary a priori estimates mixed interpolation inequality
DOI	10.3934/dcdsb.2015.20.2885
语种	英语
资助项目	NSFC[1117132] ; NSFC[11461161007] ; Youth Innovation Promotion Association, Chinese Academy of Sciences
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000362748300005
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/21004
专题	数学所
通讯作者	Hao, Chengchun
作者单位	1.Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.BCMIIS, Beijing 100048, Peoples R China
推荐引用方式 GB/T 7714	Hao, Chengchun. REMARKS ON THE FREE BOUNDARY PROBLEM OF COMPRESSIBLE EULER EQUATIONS IN PHYSICAL VACUUM WITH GENERAL INITIAL DENSITIES[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2015,20(9):2885-2931.
APA	Hao, Chengchun.(2015).REMARKS ON THE FREE BOUNDARY PROBLEM OF COMPRESSIBLE EULER EQUATIONS IN PHYSICAL VACUUM WITH GENERAL INITIAL DENSITIES.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,20(9),2885-2931.
MLA	Hao, Chengchun."REMARKS ON THE FREE BOUNDARY PROBLEM OF COMPRESSIBLE EULER EQUATIONS IN PHYSICAL VACUUM WITH GENERAL INITIAL DENSITIES".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 20.9(2015):2885-2931.