V. A. Vladimirov, A. B. Morgulis, “Relative equilibria in the Bjerknes problem”, Sibirsk. Mat. Zh., 2014, Volume 55, Number 1,Pages <nobr>44

This article is cited in 1 paper

Relative equilibria in the Bjerknes problem

V. A. Vladimirov^a, A. B. Morgulis^bc

^a The University of York, Heslington, York, United Kingdom
^b Southern Federal University, Rostov-on-Don, Russia
^c Southern Mathematical Institute, Vladikavkaz, Russia

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.

Keywords: Bjerknes buoyancy, “fluid-body system”, vibrodynamics.

UDC: 517.933+517.928.7

Received: 07.05.2013