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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 5, Pages 916–922 (Mi zvmmf4695)  
This article is cited in 7 scientific papers (total in 7 papers)

Wave motions in a stratified electrically conducting rotating fluid

S. E. Kholodova

St. Petersburg State University, Universitetskii pr. 28, St. Petersburg, 198504, Russia
Full-text PDF (662 kB) Citations (7)
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Abstract: The 3D ynamics equations for the stratified superconducting rotating fluid are studied. These equations are reduced to a scalar equation by representing the magnetic and density fields by a superposition of the unperturbed fields corresponding to the steady state of the fluid and the induced fields appearing due to the wave motion; the reduction also uses two auxiliary functions. The analysis of the scalar equation enables us to prove the solvability of the initial-boundary value problems of the wave theory for electrically conducting rotating fluids with nonhomogeneous density.
Key words: stratified rotating fluid, electrically conducting rotating fluid, partial differential equations, magnetic hydrodynamics, Earth's core, analytical solution.
Received: 17.03.2008
Revised: 03.10.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 5, Pages 881–886
DOI: https://doi.org/10.1134/S0965542509050133
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. E. Kholodova, “Wave motions in a stratified electrically conducting rotating fluid”, Zh. Vychisl. Mat. Mat. Fiz., 49:5 (2009), 916–922; Comput. Math. Math. Phys., 49:5 (2009), 881–886
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:55
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