中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
REMARKS ON THE FREE BOUNDARY PROBLEM OF COMPRESSIBLE EULER EQUATIONS IN PHYSICAL VACUUM WITH GENERAL INITIAL DENSITIES

文献类型:期刊论文

作者Hao, Chengchun1,2,3
刊名DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
出版日期2015-11-01
卷号20期号:9页码:2885-2931
关键词Compressible Euler equations physical vacuum free boundary a priori estimates mixed interpolation inequality
ISSN号1531-3492
DOI10.3934/dcdsb.2015.20.2885
英文摘要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.
语种英语
WOS记录号WOS:000362748300005
出版者AMER INST MATHEMATICAL SCIENCES
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/21003]  
专题数学所
通讯作者Hao, Chengchun
作者单位1.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
2.Acad Math & Syst Sci, Inst 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.

入库方式: OAI收割

来源:数学与系统科学研究院

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