Journal of Nonlinear Mathematical Physics

Volume 3, Issue 3-4, September 1996, Pages 441 - 446

On Reduction of the Euler Equations by Means of Two-Dimensional Algebras

Authors
Halyna Popovych
Corresponding Author
Halyna Popovych
Available Online 2 September 1996.
DOI
10.2991/jnmp.1996.3.3-4.29How to use a DOI?
Abstract

A complete set of inequivalent two-dimensional subalgebras of the maximal Lie invariance algebra of the Euler equations is constructed. Using some of them, the Euler equations are reduced to systems of partial differential equations in two independent variables which are integrated in quadratures.

Copyright
© 2006, 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
3 - 3-4
Pages
441 - 446
Publication Date
1996/09/02
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1996.3.3-4.29How to use a DOI?
Copyright
© 2006, 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  - Halyna Popovych
PY  - 1996
DA  - 1996/09/02
TI  - On Reduction of the Euler Equations by Means of Two-Dimensional Algebras
JO  - Journal of Nonlinear Mathematical Physics
SP  - 441
EP  - 446
VL  - 3
IS  - 3-4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1996.3.3-4.29
DO  - 10.2991/jnmp.1996.3.3-4.29
ID  - Popovych1996
ER  -