Geodesic
Symmetry classification of newtonian incompressiblefluid’s equations flow in turbulent boundary layers
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2017), pp. 41-52 Cet article a éte moissonné depuis la source Math-Net.Ru

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Lie group method is applicable to both linear and non-linear partial differential equations, which leads to find new solutions for partial differential equations. Lie symmetry group method is applied to study Newtonian incompressible fluid’s equations flow in turbulent boundary layers. The symmetry group and its optimal system are given, and group invariant solutions associated to the symmetries are obtained. Finally the structure of the Lie algebra such as Levi decomposition, radical subalgebra, solvability and simplicity of symmetries is given.
Keywords: Fluid mechanics, Lie symmetry, Partial differential equation, Shear stress, Optimal system. 
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M. Nadjafikhah; S. Hejazi. Symmetry classification of newtonian incompressiblefluid’s equations flow in turbulent boundary layers. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2017), pp. 41-52. http://geodesic.mathdoc.fr/item/VKAM_2017_2_a2/

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