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Volume 14, Issue 2, April 2007, Pages 157 - 163
Approximate Lie symmetries of the Navier-Stokes equations
Authors
V.N. Grebenev, M. Oberlack
Corresponding Author
V.N. Grebenev
Received 8 September 2006, Accepted 6 December 2006, Available Online 1 April 2007.
- DOI
- 10.2991/jnmp.2007.14.2.1How to use a DOI?
- Abstract
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.
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- © 2007, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
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Cite this article
TY - JOUR AU - V.N. Grebenev AU - M. Oberlack PY - 2007 DA - 2007/04/01 TI - Approximate Lie symmetries of the Navier-Stokes equations JO - Journal of Nonlinear Mathematical Physics SP - 157 EP - 163 VL - 14 IS - 2 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2007.14.2.1 DO - 10.2991/jnmp.2007.14.2.1 ID - Grebenev2007 ER -