Magnetoconvection in rapidly rotating boussinesq and compressible fluids

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Abstract
Finite amplitude convection is considered in a plane fluid layer rotating with angular velocity Ω about a horizontal axis in the y-direction. The fluid is electrically conducting, and a uniform horizontal magnetic field of strength B 0 is applied horizontally, in the x-direction, perpendicular to the rotation axis. The gravitational acceleration, g is parallel to Oz. The layer is infinite in y-extent but is bounded laterallyin the y-direction by vertical walls, which may be either stress-free or rigid, i.e. prevent fluid motion. The model is intended to simulate crudely conditions near the equator of the solar convection zone.

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