Uniform stability in structural acoustic models with flexible curved walls |
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Authors: | John Cagnol Catherine Lebiedzik Jean-Paul Zolésio |
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Institution: | a Pôle Universitaire Léonard de Vinci, ESILV, DER-CS, 92916 Paris La Défense Cedex, France b Department of Mathematics, University of Virginia, Kerchof Hall, P.O. Box 400137, Charlottesville, VA 22904-4137, USA c INRIA, Projet OPALE/CNRS, 2004 route des lucioles, B.P. 93, 06902 Sophia Antipolis Cedex, France |
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Abstract: | The aim of this paper is twofold. First, we develop an explicit extension of the Kirchhoff model for thin shells, based on the model developed by Michel Delfour and Jean-Paul Zolésio. This model relies heavily on the oriented distance function which describes the geometry. Once this model is established, we investigate the uniform stability of a structural acoustic model with structural damping. The result no longer requires that the active wall be a plate. It can be virtually any shell, provided that the shell is thin enough to accommodate the curvatures. |
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Keywords: | 73K15 35M10 35B35 73C02 |
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