Abstract:
The small oscillations of a magnetizable ideal fluid in partially filled vessel are considered. Solvability of the initial-boundary problem is proved and the generic properties of the frequencies spectrum of normal free oscillations of fluid are determined. The principle of minimum of the potential energy in the problem on the stability of the fluid equilibrium states is proved.
Key words and phrases:magnetizable capillary fluid, equilibrium state, stability of equilibrium, small oscillations, spectrum of eigenfrequencies.
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