B. J. Cantwell, “Introduction to Symmetry Analysis,” Camridge University Press, Camridge, 2002.
has been cited by the following article:
TITLE: Optimal System of Subalgebras for the Reduction of the Navier-Stokes Equations
AUTHORS: Sopita Khamrod
KEYWORDS: Optimal System; Invariant Solutions; Partially Invariant Solutions; Navier-Stokes Equations
JOURNAL NAME: Applied Mathematics, Vol.4 No.1, January 28, 2013
ABSTRACT: The purpose of this paper is to find the admitted Lie group of the reduction of the Navier-Stokes equationswhere using the basic Lie symmetry method. This equation is constructed from the Navier-Stokes equations rising to a partially invariant solutions of the Navier-Stokes equations. Two-dimensional optimal system is determined for symmetry algebras obtained through classification of their subalgebras. Some invariant solutions are also found.