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Relative equilibria in the Bjerknes problem

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Abstract

We consider a motion of a rigid body of an arbitrary shape in a vibrating irrotational flow. A sufficient condition is established for the existence of relative equilibria of the body, i.e., of equilibria of the averaged system.

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Correspondence to V. A. Vladimirov.

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Dedicated to the blessed memory of S. M. Zen’kovskaya.

Original Russian Text Copyright © 2014 Vladimirov V.A. and Morgulis A.B.

__________

Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 55, No. 1, pp. 44–60, January–February, 2014.

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Vladimirov, V.A., Morgulis, A.B. Relative equilibria in the Bjerknes problem. Sib Math J 55, 35–48 (2014). https://doi.org/10.1134/S0037446614010054

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