Abstract
The stability of equilibrium states of a charged spherical bubble in dielectric fluid with respect to centrally symmetric variations of its volume is studied by analyzing a nonlinear equation describing radial oscillations of the bubble in the neighborhoods of its singularities. It is shown that only one of the two possible equilibrium states of the bubble is stable. The boundaries separating the domains in the physical parameter space are found that correspond to stable and unstable states. It is found that when the bubble carries an electric charge, the domains of physical parameters corresponding to equilibrium states of the bubble expand.
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