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D. K. Ludlow, P. A. Clarkson and A. P. Bassom, “Similarity Reduction and Exact Solutions for the Two-Dimensional Incompressible Navier-Stokes Equations,” Studies in Applied Mathematics, Vol. 103, 1999, pp. 183-240. doi:10.1111/1467-9590.00125

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.