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).
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [22 references]  Display  Hide  Download

Contributor : Christophe Hazard <>
Submitted on : Friday, October 25, 2019 - 4:51:42 PM
Last modification on : Thursday, October 31, 2019 - 1:19:33 AM


Files produced by the author(s)


  • HAL Id : hal-02334004, version 1


Laurent Bourgeois, Christophe Hazard. On well-posedness of scattering problems in a Kirchhoff-Love infinite plate. 2019. ⟨hal-02334004⟩



Record views


Files downloads