Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2014 7 (1)
- Authors
- Krasnova, Daria A.
- Contact information
- Krasnova, Daria A.:Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Akademgorodok, 50/44, Krasnoyarsk, 660036 Russia;
- Keywords
- equations of an ideal fluid; equivalent transformation; Lagrangian coordinates; defining equations
- Abstract
Lie group analysis of equations of an ideal fluid written in variables of trajectories and Weber’s potential was conducted. It was shown that the use of volume conserving arbitrary Lagrangian coordinates is in fact an equivalent transformation for the equations. The defining Lie algebra equations for the initial velocity distribution were obtained. The basic Lie group and its extensions were found
- Pages
- 58–67
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/10137
Journal of Siberian Federal University. Mathematics & Physics / Group Analysis of Three-dimensional Equations of an Ideal Fluid in Terms of Trajectories and Weber Potential
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