2019
Том 71
№ 8

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

Komarenko A. N.

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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.

English version (Springer): Ukrainian Mathematical Journal 48 (1996), no. 3, pp 377-391.

Citation Example: Komarenko A. N. Operator methods in the problem of perturbed motion of a rotating body partially filled with liquid // Ukr. Mat. Zh. - 1996. - 48, № 3. - pp. 335-348.

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