Wave motions in a stratified electrically conducting rotating fluid |
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Authors: | S E Kholodova |
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Institution: | (1) St. Petersburg State University, Universitetskii pr. 28, St. Petersburg, 198504, Russia |
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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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Keywords: | stratified rotating fluid electrically conducting rotating fluid partial differential equations magnetic hydrodynamics Earth’ s core analytical solution |
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