Abstract
Convective instabilities in the Benard problem have been examined for a magnetohydrodynamic fluid with a non-linear permeability, the model having been proposed by P. H. Roberts [16] in the context of neutron stars. This non-linear relationship has no effect on the develop of instabilities through the mechanism of stationary convection which is the preferred process in terrestial applications. However in non-terrestial applications the nonlinearity influences the onset of overstable convection and overstability is the preferred mechanism.
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