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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2010, Volume 10, Issue 4, Pages 26–35 (Mi vngu57)  
One Partially Invariant Solution of Hydrodynamic Equations for the Atmosphere

N. Yu. Bosykha, A. P. Chupakhinb

a Novosibirsk State University
b M. A. Lavrent'ev Institute of Hydrodynamics, Novosibirsk
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Abstract: 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.
Received: 11.12.2009
English version:
Journal of Mathematical Sciences, 2013, Volume 188, Issue 4, Pages 344–353
DOI: https://doi.org/10.1007/s10958-012-1132-5
Document Type: Article
UDC: 517.944+532.5
Language: Russian
Citation: N. Yu. Bosykh, A. P. Chupakhin, “One Partially Invariant Solution of Hydrodynamic Equations for the Atmosphere”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:4 (2010), 26–35; J. Math. Sci., 188:4 (2013), 344–353
Citation in format AMSBIB
\Bibitem{BosChu10}
\by N.~Yu.~Bosykh, A.~P.~Chupakhin
\paper One Partially Invariant Solution of Hydrodynamic Equations for the Atmosphere
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2010
\vol 10
\issue 4
\pages 26--35
\mathnet{http://mi.mathnet.ru/vngu57}
\transl
\jour J. Math. Sci.
\yr 2013
\vol 188
\issue 4
\pages 344--353
\crossref{https://doi.org/10.1007/s10958-012-1132-5}
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    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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