ASYMMETRIC AND MOVING-FRAME APPROACHES TO NAVIER-STOKES EQUATIONS

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	ASYMMETRIC AND MOVING-FRAME APPROACHES TO NAVIER-STOKES EQUATIONS
	Xu, Xiaoping
刊名	QUARTERLY OF APPLIED MATHEMATICS
	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
出版者	UNIV PRESS INC
WOS记录号	WOS:000268866900009
内容类型	期刊论文
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.