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 |
| DOI | 10.3934/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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