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Un problème Spectral Issu d'un Couplage Elasto-Acoustique

Mario Durán, Jean-Claude Nédélec (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

We are interested in the theoretical study of a spectral problem arising in a physical situation, namely interactions of fluid-solid type structure. More precisely, we study the existence of solutions for a quadratic eigenvalue problem, which describes the vibrations of a system made up of two elastic bodies, where a slip is allowed on their interface and which surround a cavity full of an inviscid and slightly compressible fluid. The problem shall be treated like a generalized eigenvalue...

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