ASYMMETRIC AND MOVING-FRAME APPROACHES TO NAVIER-STOKES EQUATIONS
文献类型：期刊论文
| 作者 | Xu, Xiaoping
|
| 刊名 | QUARTERLY OF APPLIED MATHEMATICS
 |
| 出版日期 | 2009 |
| 卷号 | 67期号:1页码:163-193 |
| 关键词 | Navier-Stokes equations asymmetric condition moving frame exact solution symmetry transformation |
| ISSN号 | 0033-569X |
| 英文摘要 | In this paper, we introduce a method of imposing asymmetric conditions on the velocity vector with respect to independent variables and a method of moving frame for solving the three-dimensional Navier-Stokes equations. Seven families of non-steady rotating asymmetric solutions with various parameters are obtained. In particular, one family of solutions blows up at any point on a moving plane with a line deleted, which may be used to study turbulence. Using Fourier expansion and two families of our solutions, one can obtain discontinuous solutions that may be useful in the study of shock waves. Another family of solutions are partially cylindrical invariant, contain two parameter functions of t and structurally depend on two arbitrary polynomials, which may be used to describe incompressible fluid in a nozzle. Most of our solutions are globally analytic with respect to spacial variables. |
| 语种 | 英语 |
| WOS记录号 | WOS:000268866900009 |
| 出版者 | UNIV PRESS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8000]  |
| 专题 | 数学所 |
| 通讯作者 | Xu, Xiaoping |
| 作者单位 | Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Xiaoping. ASYMMETRIC AND MOVING-FRAME APPROACHES TO NAVIER-STOKES EQUATIONS[J]. QUARTERLY OF APPLIED MATHEMATICS,2009,67(1):163-193. |
| APA | Xu, Xiaoping.(2009).ASYMMETRIC AND MOVING-FRAME APPROACHES TO NAVIER-STOKES EQUATIONS.QUARTERLY OF APPLIED MATHEMATICS,67(1),163-193. |
| MLA | Xu, Xiaoping."ASYMMETRIC AND MOVING-FRAME APPROACHES TO NAVIER-STOKES EQUATIONS".QUARTERLY OF APPLIED MATHEMATICS 67.1(2009):163-193. |
入库方式： OAI收割
来源：数学与系统科学研究院
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