Journal of Nonlinear Mathematical Physics

Volume 3, Issue 1-2, May 1996, Pages 196 - 201

Symmetries of Euler Equations in Lagrangian Coordinates

Authors
Victor Andreev
Corresponding Author
Victor Andreev
Available Online 1 May 1996.
DOI
10.2991/jnmp.1996.3.1-2.24How to use a DOI?
Abstract

The transition from Eulerian to Lagrangian coordinates is a nonlocal transformation. In general, isomorphism should not take place between basic Lie groups of studied equations. Besides, in the case of plane and rotational symmetric motion hydrodynamic equations in Lagrangian coordinates are partially integrated. This fact introduces arbitrary functions, initial data, to the resulting systems and makes cuurently central the problem of group classification. It is stated that under a transition to Lagrangian coordinates, the main group becomes infinite­dimensional as well in space coordinates. The exclusive values of arbitrary functions of Lagrange coordinates (vorticity, momentum), at which the further group widening takes place, are found in [1].

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 - 1-2
Pages
196 - 201
Publication Date
1996/05/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1996.3.1-2.24How 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  - Victor Andreev
PY  - 1996
DA  - 1996/05/01
TI  - Symmetries of Euler Equations in Lagrangian Coordinates
JO  - Journal of Nonlinear Mathematical Physics
SP  - 196
EP  - 201
VL  - 3
IS  - 1-2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1996.3.1-2.24
DO  - 10.2991/jnmp.1996.3.1-2.24
ID  - Andreev1996
ER  -