Geodesic
Wave motions in a stratified electrically conducting rotating fluid
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 5, pp. 916-922

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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. 
@article{ZVMMF_2009_49_5_a12,
     author = {S. E. Kholodova},
     title = {Wave motions in a~stratified electrically conducting rotating fluid},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {916--922},
     publisher = {mathdoc},
     volume = {49},
     number = {5},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_5_a12/}
}
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S. E. Kholodova. Wave motions in a stratified electrically conducting rotating fluid. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 5, pp. 916-922. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_5_a12/