Geodesic
Group analysis of three-dimensional equations of an ideal fluid in terms of trajectories and Weber potential
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 1, pp. 58-67

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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.
Keywords: equations of an ideal fluid, Lagrangian coordinates, defining equations.
Mots-clés : equivalent transformation 
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     title = {Group analysis of three-dimensional equations of an ideal fluid in terms of trajectories and {Weber} potential},
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Daria A. Krasnova. Group analysis of three-dimensional equations of an ideal fluid in terms of trajectories and Weber potential. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 1, pp. 58-67. http://geodesic.mathdoc.fr/item/JSFU_2014_7_1_a5/