The Acoustic Scattering of a Layered Elastic Shell Medium

DOI10.4208/AAM.OA-2023-0019OpenAlexW4386723824MaRDI QIDQ6191823

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Publication date: 11 March 2024

Published in: Annals of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aam.oa-2023-0019

zbMATH Keywords

integral operatorHelmholtz equationexistence and uniquenessindex theoremNavier equationfluid-solid interaction problem

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Cites Work

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• Modelling and simulation of acoustic pulse interaction with a fluid-filled hollow elastic sphere through numerical Laplace inversion
• Huygens’ principle, radiation conditions, and integral formulas for the scattering of elastic waves
• Existence of solution in elastic wave scattering by unbounded rough surfaces
• Fluid–Solid Interaction: Acoustic Scattering by a Smooth Elastic Obstacle
• Inverse Obstacle Scattering in an Unbounded Structure
• Boundary Integral Equation Methods for the Two-Dimensional Fluid-Solid Interaction Problem
• Integral Equation Methods in Scattering Theory
• Linear integral equations

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