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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 11, Pages 1973–1987 (Mi zvmmf4966)  
This article is cited in 10 scientific papers (total in 10 papers)

Dynamics of a rotating layer of an ideal electrically conducting incompressible inhomogeneous fluid in an equatorial region

S. I. Peregudin, S. E. Kholodova

Faculty of Mathematics and Mechanics, St. Petersburg State University, Bibliotechnaya pl. 4, St. Petersburg, 198504 Russia
Full-text PDF (280 kB) Citations (10)
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Abstract: The equations describing the three-dimensional equatorial dynamics of an ideal electrically conducting inhomogeneous rotating fluid are studied. The magnetic and velocity fields are represented as superpositions of unperturbed steady-state fields and those induced by wave motion. As a result, after introducing two auxiliary functions, the equations are reduced to a special scalar one. Based on the study of this equation, the solvability of initial-boundary value problems arising in the theory of waves propagating in a spherical layer of an electrically conducting density-inhomogeneous rotating fluid in an equatorial zone is analyzed. Particular solutions of the scalar equation are constructed that describe small-amplitude wave propagation.
Key words: inhomogeneous rotating fluid, electrically conducting rotating fluid, partial differential equation, magnetohydrodynamics, Earth's core, analytical representation of solutions, small-amplitude wave propagation.
Received: 27.01.2010
Revised: 12.05.2010
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 11, Pages 1871–1885
DOI: https://doi.org/10.1134/S0965542510110114
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. I. Peregudin, S. E. Kholodova, “Dynamics of a rotating layer of an ideal electrically conducting incompressible inhomogeneous fluid in an equatorial region”, Zh. Vychisl. Mat. Mat. Fiz., 50:11 (2010), 1973–1987; Comput. Math. Math. Phys., 50:11 (2010), 1871–1885
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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