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/).
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 -