Stability and uniqueness of magnetic fluid motions

We examine the uniqueness and asymptotic stability of the equilibrium and arbitrary flows for a general class of the governing equations for magnetic fluids. Stability bounds for equilibrium base flows in mechanically isolated domains are obtained and it is shown that, in general, these are asymptotically stable. For general, non-trivial flows, we obtain stability bounds and establish uniqueness theorems for the initial boundary-value problems of magnetic fluids.