On the existence and the uniqueness of the solution of a fluid-structure interaction scattering problem

DOI10.1016/j.jmaa.2013.10.081zbMath1311.35205OpenAlexW1971733389MaRDI QIDQ2019142

Elodie Estecahandy, Rabia Djellouli, Hélène Barucq

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.10.081

zbMATH Keywords

weighted Sobolev spacefluid-solid interactionscattering problemFredholm alternativeGårding's inequalityJones frequency

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10)

Related Items (9)

An effective numerical strategy for retrieving all characteristic parameters of an elastic scatterer from its FFP measurements ⋮ Equivalent Robin boundary conditions for acoustic and elastic media ⋮ Characterization of partial derivatives with respect to material parameters in a fluid-solid interaction problem ⋮ Variational approach to shape derivatives for elasto-acoustic coupled scattering fields and an application with random interfaces ⋮ Efficient DG-like formulation equipped with curved boundary edges for solving elasto-acoustic scattering problems ⋮ Fréchet differentiability of the elasto-acoustic scattered field with respect to Lipschitz domains ⋮ Solvability results for the transient acoustic scattering by an elastic obstacle ⋮ Mathematical Determination of the Fréchet Derivative with Respect to the Domain for a Fluid-Structure Scattering Problem: Case of Polygonal-Shaped Domains ⋮ Revisiting the Jones Eigenproblem in Fluid-Structure Interaction

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