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Small vibrations of a linearly elastic body surrounded by heavy,incompressible, non-Newtonian fluids with free surfaces
Authors:Christian Licht
Institution:1. Laboratoire de mécanique et génie civil, UMR 5508 CNRS, université Montpellier 2, case courrier 048, place Eugène Bataillon, 34095 Montpellier cedex 05, France;2. Institute of Mechanics of Hanoi, 264 Doi Can St., Hanoi, Viet Nam
Abstract:We consider the small transient motions of a coupled system constituted by a linearly elastic body and two heavy, incompressible, non-Newtonian fluids.Through a formulation in terms of non-linear evolution equations in Hilbert spaces of possible states with finite mechanical energy, we obtain existence and uniqueness results and study the influence of gravity. To cite this article: C. Licht, Tran Thu Ha, C. R. Mecanique 333 (2005).
Keywords:Continuum Mechanics  Fluid–structure interactions  Non-linear semi-groups  Milieux continus  Couplages fluide–structure  Semi-groupes non-linéaires
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