Geodesic
One Partially Invariant Solution of Hydrodynamic Equations for the Atmosphere
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 10 (2010) no. 4, pp. 26-35 Cet article a éte moissonné depuis la source Math-Net.Ru

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The hydrodynamic equations for the atmosphere in $f$-plane approximation admit an infinite-dimensional Lie group of transformations obtained by L. V. Ovsyannikov in 1967. A partially invariant solution of these equations which possesses functional arbitrariness is analysed in this paper. Finding a solution is reduced to the Hopf equations integration and finite formulae.
Keywords: hydrodynamic equations for the atmosphere in $f$-plane approximation, Lie infinite group, partially invariant solution. 
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N. Yu. Bosykh; A. P. Chupakhin. One Partially Invariant Solution of Hydrodynamic Equations for the Atmosphere. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 10 (2010) no. 4, pp. 26-35. http://geodesic.mathdoc.fr/item/VNGU_2010_10_4_a2/

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