On the instability with probability one of equilibrium of ideal incompressible liquid situated in a vertical cylinder under its random coaxial vibration
Abstract:
The paper concerns with the equilibrium of the ideal incompressible liquid situated in a moving cylindrical vertical vessel. It is proved that the equilibrium is unstable with probability one if the vessel movement is defined as the vertical random vibration. Random vibration is simulated by stationary Markov chain.
Key words:ideal incompressible liquid, gravity force, cylindrical vessel, unstable equilibrium, random vibration, stationary Markov chain, probability one.
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