Some Similarity Reduction Solutions to Two-Dimensional Incompressible Navier-Stokes Equation

被引：0
|
作者：
JIAO Xiao-YuDepartment of Physics
机构：
来源：
Communications in Theoretical Physics | 2009年 / 52卷 / 09期
关键词：
Lie symmetry method; Navier-Stokes equation; similarity reduction;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
We investigate the symmetry reduction for the two-dimensional incompressible Navier-Stokes equationin conventional stream function form through Lie symmetry method and construct some similarity reduction solutions.Two special cases in [D.K.Ludlow,P.A.Clarkson,and A.P.Bassom,Stud.Appl.Math.103 (1999) 183] and a theoremin [S.Y.Lou,M.Jia,X.Y.Tang,and F.Huang,Phys.Rev.E 75 (2007) 056318] are retrieved.
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页码：389 / 394
页数：6
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