This article is cited 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

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.

UDC: 532.582+517.929.5

Received: 12.02.2008

 English version: Siberian Mathematical Journal, 2009, 50:3, 405–414

Bibliographic databases:

• 
• 
• 
• 
•