Geodesic
Dynamics of a rotating layer of an ideal electrically conducting incompressible inhomogeneous fluid in an equatorial region
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 11, pp. 1973-1987 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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S. I. Peregudin; S. E. Kholodova. Dynamics of a rotating layer of an ideal electrically conducting incompressible inhomogeneous fluid in an equatorial region. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 11, pp. 1973-1987. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_11_a10/

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