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Wave motions in a stratified electrically conducting rotating fluid

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Abstract

The 3D dynamics 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.

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Authors and Affiliations

  1. St. Petersburg State University, Universitetskii pr. 28, St. Petersburg, 198504, Russia

    S. E. Kholodova

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  1. S. E. Kholodova
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Correspondence to S. E. Kholodova.

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Original Russian Text © S.E. Kholodova, 2009, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2009, Vol. 49, No. 5, pp. 916–922.

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Kholodova, S.E. Wave motions in a stratified electrically conducting rotating fluid. Comput. Math. and Math. Phys. 49, 881–886 (2009). https://doi.org/10.1134/S0965542509050133

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  • DOI: https://doi.org/10.1134/S0965542509050133

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