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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 3, Pages 515–525 (Mi smj1978)  
This article is cited in 1 scientific paper (total in 1 paper)

Completeness of the Floquet solutions to the problem of a solid oscillating in a fluid

S. A. Guda

Southern Federal University, Faculty of Mathematics, Mechanics and Computer Sciences, Chair of Computational Mathematics and Mathematical Physics, Rostov-na-Donu
Full-text PDF (342 kB) Citations (1)
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Abstract: We prove the completeness of the Floquet solutions to the parabolic equation describing small oscillations of a fluid-solid system. The symmetry axis of the solid is fixed inside a container of an arbitrary shape which is filled with an incompressible viscous fluid. The solid oscillates torsionally under the action of an elastic force with time periodic rigidity.
Keywords: completeness of Floquet solutions, motion of a solid in a viscous fluid.
Received: 12.02.2008
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 3, Pages 405–414
DOI: https://doi.org/10.1007/s11202-009-0047-y
Bibliographic databases:
UDC: 532.582+517.929.5
Language: Russian
Citation: S. A. Guda, “Completeness of the Floquet solutions to the problem of a solid oscillating in a fluid”, Sibirsk. Mat. Zh., 50:3 (2009), 515–525; Siberian Math. J., 50:3 (2009), 405–414
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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