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title:
 
Symmetries of Euler Equations in Lagrangian Coordinates
publication:
 
JNMP
volume-issue:   3 - 1-2
pages:   196 - 201
ISSN:
  1402-9251
DOI:
  doi:10.2991/jnmp.1996.3.1-2.24 (how to use a DOI)
author(s):
 
Victor ANDREEV
publication date:
 
May 1996
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:
 
© The authors.
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