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Optimal System of Subalgebras for the Reduction of the Navier-Stokes Equations

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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.

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S. Khamrod, "Optimal System of Subalgebras for the Reduction of the Navier-Stokes Equations,"

*Applied Mathematics*, Vol. 4 No. 1, 2013, pp. 124-134. doi: 10.4236/am.2013.41022.

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