The vector fields admitting one-parameter spatial symmetry group and their reduction
文献类型：期刊论文
| 作者 | Huang DB(黄德斌) ; Zhao XH(赵晓华)
|
| 刊名 | Applied Mathematics and Mechanics (English Edition)
 |
| 出版日期 | 2000 |
| 卷号 | 21期号:2页码:173-180 |
| 关键词 | Vector Field Symmtry Group Lie Group Reduction Preserving N-Form |
| ISSN号 | 0253-4827 |
| 通讯作者 | Huang, DB (reprint author), Acad Sinica, Inst Mech, LNM, Beijing 100080, Peoples R China. |
| 中文摘要 | For a n-dimensional vector fields preserving some n-form, the following conclusion is reached by the method of Lie group. That is, if it admits an one-parameter, n-form preserving symmetry group, a transformation independent of the vector field is constructed explicitly, which can reduce not only dimesion of the vector field by one, but also make the reduced vector field preserve the corresponding ( n - 1)-form. In partic ular, while n = 3, an important result can be directly got which is given by Me,ie and Wiggins in 1994. |
| 类目[WOS] | Mathematics, Applied ; Mechanics |
| 研究领域[WOS] | Mathematics ; Mechanics |
| 收录类别 | SCI ; EI |
| 语种 | 英语 |
| WOS记录号 | WOS:000087387100006 |
| 公开日期 | 2009-08-03 ; 2010-06-13 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/33651]  |
| 专题 | 力学研究所_力学所知识产出(1956-2008) |
| 推荐引用方式 GB/T 7714 | Huang DB,Zhao XH. The vector fields admitting one-parameter spatial symmetry group and their reduction[J]. Applied Mathematics and Mechanics (English Edition),2000,21(2):173-180. |
| APA | 黄德斌,&赵晓华.(2000).The vector fields admitting one-parameter spatial symmetry group and their reduction.Applied Mathematics and Mechanics (English Edition),21(2),173-180. |
| MLA | 黄德斌,et al."The vector fields admitting one-parameter spatial symmetry group and their reduction".Applied Mathematics and Mechanics (English Edition) 21.2(2000):173-180. |
入库方式： OAI收割
来源：力学研究所
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