Abstract
A viscous magnetic fluid layer in a uniform horizontal magnetic field is considered. The upper boundary of the layer is a horizontal rigid wall and the lower boundary a the free surface. It is assumed that at the initial instant the free surface represents a randomly weakly deformed horizontal plane. A dispersion relation for the waves in a layer of arbitrary thickness is obtained within the framework of the linearized system of ferrohydrodynamic equations describing the evolution of spatial perturbations. The effect of a tangential magnetic field on the breakdown of a thin layer is investigated theoretically and experimentally.
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