Journal of Nonlinear Mathematical Physics

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.

Copyright
© 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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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
14 - 2
Pages
157 - 163
Publication Date
2007/04/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2007.14.2.1How to use a DOI?
Copyright
© 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/).

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  -