ON MULTI-DIMENSIONAL SONIC-SUBSONIC FLOW
文献类型：期刊论文
| 作者 | Huang Feimin ; Wang Tianyi; Wang Yong
|
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2011-11-01 |
| 卷号 | 31期号:6页码:2131-2140 |
| 关键词 | multi-dimension sonic-subsonic flow steady irrotational flow compensated compactness |
| ISSN号 | 0252-9602 |
| 英文摘要 | In this paper, a compensated compactness framework is established for sonic-subsonic approximate solutions to the n-dimensional (n >= 2) Euler equations for steady irrotational flow that may contain stagnation points. This compactness framework holds provided that the approximate solutions are uniformly bounded and satisfy H-loc(-1) (Omega) compactness conditions. As illustration, we show the existence of sonic-subsonic weak solution to n-dimensional (n >= 2) Euler equations for steady irrotational flow past obstacles or through an infinitely long nozzle. This is the first result concerning the sonic-subsonic limit for n-dimension (n >= 3). |
| 资助项目 | NSFC[10825102] ; National Basic Research Program of China (973 Program)[2011CB808002] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000297610800005 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11952]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Huang Feimin |
| 作者单位 | Acad Sinica, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang Feimin,Wang Tianyi,Wang Yong. ON MULTI-DIMENSIONAL SONIC-SUBSONIC FLOW[J]. ACTA MATHEMATICA SCIENTIA,2011,31(6):2131-2140. |
| APA | Huang Feimin,Wang Tianyi,&Wang Yong.(2011).ON MULTI-DIMENSIONAL SONIC-SUBSONIC FLOW.ACTA MATHEMATICA SCIENTIA,31(6),2131-2140. |
| MLA | Huang Feimin,et al."ON MULTI-DIMENSIONAL SONIC-SUBSONIC FLOW".ACTA MATHEMATICA SCIENTIA 31.6(2011):2131-2140. |
入库方式： OAI收割
来源：数学与系统科学研究院
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