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V. V. Pukhnachov, “Group Properties of the Navier-Stokes Equations in Two-Dimensional Case,” Journal of Applied Mechanics and Technical Physics, Vol. 44, No. 3, 1960, pp. 317-323. doi:10.1023/A:1023472921305

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.