Journal of Siberian Federal University. Mathematics & Physics / Group Analysis of Three-dimensional Equations of an Ideal Fluid in Terms of Trajectories and Weber Potential

Full text (.pdf)
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