Optimal System and Invariant Solutions on ((Usubyy/sub(t,s,y)-Usubt/sub(t,s,y))y-2sUsubsy/sub(t,s,y))y+(ssup2/sup+1)Usubss/sub(t,s,y)+2sUsubs/sub=0

摘要

The purpose of this paper is to find the invariant solutions of the reduction of the Navier-Stokes equations where s=z/y ((Uyy(t,s,y)-Ut(t,s,y))y-2sUsy(t,s,y))y+(s2+1)Uss(t,s,y)+2sUs=0 This equation is constructed from the Navier-Stokes equations rising to a partially invariant solutions of the Navier-Stokes equations. Group classification of the admitted Lie algebras of this equation is obtained. Two-dimensional optimal system is constructed from classification of their subalgebras. All invariant solutions corresponding to these subalgebras are presented.