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Optimal System of Subalgebras for the Reduction of the Navier-Stokes Equations
Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, Thailand&Centre of Excellence in Mathematics, CHE, Bangkok, Thailand
- 1 Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, Thailand&Centre of Excellence in Mathematics, CHE, Bangkok, Thailand
Applied Mathematics·Volume 04 (2013)·Pages 124–134·Published 25 January 2013·DOI10.4236/am.2013.41022
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Abstract
The purpose of this paper is to find the admitted Lie group of the reduction of the Navier-Stokes equations where 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.
KeywordsOptimal SystemInvariant SolutionsPartially Invariant SolutionsNavier-Stokes Equations
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