New algebraic approaches to classical boundary layer problems
文献类型：期刊论文
| 作者 | Xu, Xiao Ping
|
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2011-06-01 |
| 卷号 | 27期号:6页码:1023-1070 |
| 关键词 | Boundary layer equation symmetry transformation moving frame exponential approach trigonometric approach hyperbolic approach rational approach |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-011-9414-2 |
| 英文摘要 | Classical non-steady boundary layer equations are fundamental nonlinear partial differential equations in the boundary layer theory of fluid dynamics. In this paper, we introduce various schemes with multiple parameter functions to solve these equations and obtain many families of new explicit exact solutions with multiple parameter functions. Moreover, symmetry transformations are used to simplify our arguments. The technique of moving frame is applied in the three-dimensional case in order to capture the rotational properties of the fluid. In particular, we obtain a family of solutions singular on any moving surface, which may be used to study turbulence. Many other solutions are analytic related to trigonometric and hyperbolic functions, which reflect various wave characteristics of the fluid. Our solutions may also help engineers to develop more effective algorithms to find physical numeric solutions to practical models. |
| 语种 | 英语 |
| WOS记录号 | WOS:000290226700001 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12239]  |
| 专题 | 数学所 |
| 通讯作者 | Xu, Xiao Ping |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Math Lab, Inst Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Xiao Ping. New algebraic approaches to classical boundary layer problems[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2011,27(6):1023-1070. |
| APA | Xu, Xiao Ping.(2011).New algebraic approaches to classical boundary layer problems.ACTA MATHEMATICA SINICA-ENGLISH SERIES,27(6),1023-1070. |
| MLA | Xu, Xiao Ping."New algebraic approaches to classical boundary layer problems".ACTA MATHEMATICA SINICA-ENGLISH SERIES 27.6(2011):1023-1070. |
入库方式： OAI收割
来源：数学与系统科学研究院
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