Abstract
We establish a variational criterion of stability for the problem of the vibrocapillary equilibrium state which appears in the theory of interaction of limited volumes of liquid with vibrational fields.
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A. D. Myshkis, V. G. Babskii, M. Yu. Zhukov, et al.,Methods for the Solution of Hydromechanical Problems in Zero Gravity [inRussian], Naukova Dumka, Kiev 1992.
I. A. Lukovskii and A. N. Timokha,Variational Problems of Nonlinear Dynamics of a Bounded Volume of Liquid [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev 1995.
A. V. Mikhailuk, “Variational approaches for some nonlinear boundary-value problems with free surface from the vibrational interactioninteraction theory,” in:Contemporary Investigations in Physics and Mathematics of Young Researchers of Ukrainian HigherSchools. Collection of Scientific Works [in Russian], Kiev University, Kiev (1995), pp. 31–37.
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Lukovs’kyi, L.O., Mykhailyuk, O.V. & Tymokha, O.M. On one variational criterion of stability of pseudoequilibrium forms. Ukr Math J 48, 1688–1695 (1996). https://doi.org/10.1007/BF02529490
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DOI: https://doi.org/10.1007/BF02529490