Upper Limits to the Complex Growth Rates in Magnetorotatory Triply Diffusive Convection

Upper bounds for the complex growth rate of an arbitrary oscillatory perturbation, which may be neutral or unstable for triply diffusive convection under the simultaneous presence of a uniform vertical magnetic field and a vertical uniform rotation, are obtained. It is further proved that the results obtained herein are uniformly valid for all combinations of rigid perfectly conducting or rigid insulating boundaries.