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.
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Original Russian Text © S.I. Peregudin, S.E. Kholodova, 2010, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2010, Vol. 50, No. 11, pp. 1973–1987.
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Peregudin, S.I., Kholodova, S.E. Dynamics of a rotating layer of an ideal electrically conducting incompressible inhomogeneous fluid in an equatorial region. Comput. Math. and Math. Phys. 50, 1871–1885 (2010). https://doi.org/10.1134/S0965542510110114
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DOI: https://doi.org/10.1134/S0965542510110114