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Operator methods in the problem of perturbed motion of a rotating body partially filled with liquid

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Abstract

We apply operator methods to the investigation of an initial boundary-value problem which describes the perturbed motion of a body with cavity partially filled with an ideal liquid relative to the uniform rotation of this system about a fixed axis. We prove the existence and uniqueness of generalized solutions with finite energy and establish a sufficient condition for the stability of motion and some properties of the spectrum of the problem under consideration.

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Authors
  1. A. N. Komarenko
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Komarenko, A.N. Operator methods in the problem of perturbed motion of a rotating body partially filled with liquid. Ukr Math J 48, 377–391 (1996). https://doi.org/10.1007/BF02378528

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  • DOI: https://doi.org/10.1007/BF02378528

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