On Exchange of Stabilities in Ferromagnetic Convection in a Rotating Ferrofluid Saturated Porous Layer


Department of Mathematics, Himachal Pradesh University, Summer Hill, Shimla-171005, India


In the present paper, first of all, it is proved that the ‘principle of the exchange of stabilities’ is not, in general valid, for the case of free boundaries and then a sufficient condition is derived for the validity of this principle in ferromagnetic convection, for the case of free boundaries, in a horizontal ferrofluid saturated porous layer in the presence of a uniform vertical magnetic field and uniform rotation about the vertical axis.