Abstract

A Particular Class of Partially Invariant Solutions of the Navier-Stokes Equations

S.V.Meleshko (School of Mathematics, Suranaree University of Technology, Nakhon Ratchasima, Thailand )

e-mail: sergey@math.sut.ac.th

In this research, using classical group analysis one class of partially invariant solutions of the Navier-Stokes equations is studied. This class of solutions is constructed on the base of the four dimensional algebra. We systematically investigate the case, where the Monge-Ampere equation is hyperbolic. It is shown that this class of solutions is a particular case of the solutions with linear profile of velocity with respect to one or two space variables.

Section : 12