On well-posedness of scattering problems in a Kirchhoff-Love infinite plate

Laurent Bourgeois 1 Christophe Hazard 1
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : We address scattering problems for impenetrable obstacles in an infinite elastic Kirchhoff-Love two-dimensional plate. The analysis is restricted to the purely bending case and the time-harmonic regime. Considering four types of boundary conditions on the obstacle, well-posedness for those problems is proved with the help of a variational approach: (i) for any wave number k when the plate is clamped, simply supported or roller supported; (ii) for any k except a discrete set when the plate is free (this set is finite for convex obstacles).
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Submitted on : Friday, October 25, 2019 - 4:51:42 PM
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Laurent Bourgeois, Christophe Hazard. On well-posedness of scattering problems in a Kirchhoff-Love infinite plate. 2019. ⟨hal-02334004⟩

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