Abstract
A study is made of the stabilization of the interface between two moving magnetizable fluids by means of an external magnetic field H={H0 cos ωt, H0 sin ωt, 0} of circular polarization. The fluids are assumed to be ideal, incompressible, nonconducting, and electrically neutral. An equation of motion is derived for the perturbed interface. The Borg criterion is used to obtain sufficient conditions of stability of small perturbations of the interface; these conditions relate the amplitude H0 and the frequency ω of the external magnetic field to the characteristic parameters of the problem and the wave vector k. The dependence of H0 and ω on the modulus of the wave vector is investigated. The obtained results are compared with the results of [1].
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