One Partially Invariant Solution of Hydrodynamic Equations for the Atmosphere
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 10 (2010) no. 4, pp. 26-35
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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.
@article{VNGU_2010_10_4_a2,
author = {N. Yu. Bosykh and A. P. Chupakhin},
title = {One {Partially} {Invariant} {Solution} of {Hydrodynamic} {Equations} for the {Atmosphere}},
journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
pages = {26--35},
publisher = {mathdoc},
volume = {10},
number = {4},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VNGU_2010_10_4_a2/}
}
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%0 Journal Article %A N. Yu. Bosykh %A A. P. Chupakhin %T One Partially Invariant Solution of Hydrodynamic Equations for the Atmosphere %J Sibirskij žurnal čistoj i prikladnoj matematiki %D 2010 %P 26-35 %V 10 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/VNGU_2010_10_4_a2/ %G ru %F VNGU_2010_10_4_a2
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/