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

  • A. N. Komarenko

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.
Published
25.03.1996
How to Cite
KomarenkoA. N. “Operator Methods in the Problem of Perturbed Motion of a Rotating Body Partially Filled With Liquid”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 48, no. 3, Mar. 1996, pp. 335-48, https://umj.imath.kiev.ua/index.php/umj/article/view/5331.
Section
Research articles