Approximate Lie symmetries of the Navier-Stokes equations

In the framework of the theory of approximate transformation groups proposed by Baikov, Gaziziv and Ibragimov [1], the first-order approximate symmetry operator is calculated for the Navier-Stokes equations. The symmetries of the coupled system obtained by expanding the dependent variables of the Na...

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Veröffentlicht in:	Journal of nonlinear mathematical physics 2007-01, Vol.14 (2), p.157-163
Hauptverfasser:	Grebenev, V N, Oberlack, M
Format:	Artikel
Sprache:	eng
Schlagworte:	Dependent variables Fluid flow Mathematical analysis Navier-Stokes equations
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description	In the framework of the theory of approximate transformation groups proposed by Baikov, Gaziziv and Ibragimov [1], the first-order approximate symmetry operator is calculated for the Navier-Stokes equations. The symmetries of the coupled system obtained by expanding the dependent variables of the Navier-Stokes equations in the perturbation series with respect to a small parameter (viscosity) are used to derive approximate symmetries in the sense by Baikov et al.
doi_str_mv	10.2991/jnmp.2007.14.2.1
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subjects	Dependent variables Fluid flow Mathematical analysis Navier-Stokes equations
title	Approximate Lie symmetries of the Navier-Stokes equations
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