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.
基金
Supported by National Natural Science Foundations of China under Grant Nos.10735030,10475055,10675065,and 90503006
National Basic Research Program of China (973 Program) under Grant No.2007CB814800
PCSIRT (IRT0734)
the Research Fund of Postdoctoral of China under Grant No.20070410727
Specialized Research Fund for the Doctoral Program of Higher Education under Grant No.20070248120
