Lax-Phillips theory for sound waves scattering by thin infinite elastic planes

DOI10.1016/S0898-1221(97)00122-3zbMath0895.73053OpenAlexW2051198196MaRDI QIDQ1376718

A. A. Pokrovskiy

Publication date: 21 January 1998

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(97)00122-3

zbMATH Keywords

energy transferspectral analysiscontracting semigroupoperator theoryfluid-loaded infinite thin elastic planesfrequency-dependent boundary conditionssingularities of reflection coefficient

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Wave scattering in solid mechanics (74J20) Hydro- and aero-acoustics (76Q05)

Cites Work

• Eigenoscillations of mechanical systems and the spectral theory of self-adjoint operators
• An extensions theory setting for scattering by breathing bag
• Causality and dispersion relations for fixed momentum transfer
• Application of zero-range models to the problem of diffraction by a small hole in elastic plate
• Resonance theory of elastic head waves in layered media. I. A fluid layer bottomed by an infinite solid
• The green function of an infinite, fluid loaded membrane
• Lax–Phillips theory for scattering by thin elastic bodies
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item