Abstract
A multiple-scale asymptotic technique is used to study the propagation of slow hydromagnetic waves in a magnetostrophic regime for an incompressible, inviscid, perfectly conducting fluid of constant density in rotating cylindrical geometry. Such waves may play an important role in both the generation and behavior of the Earth's magnetic field. Knowledge of their behavior may be useful in studying the flows at the core-mantle boundary. The equations of motion are linearized about an ambient state of no motion with respect to rotating cylindrical coordinates and an azimuthal ambient magnetic field of the form rn/2 where r is the radial distance in cylindrical coordinates. The waves may be trapped in a variety of ways while westward travelling modes may be unstable for n > 3 . These results extend the local results of ACHESON (1972) and are consistent with the numerical results of FEARN (1983).
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