Théorie spectrale de la progagation des ondes acoustiques dans un milieu stratifié perturbé. (Spectral analysis of the propagation of acoustic waves in a perturbed stratified medium)

DOI10.1016/0022-0396(86)90091-4zbMath0611.35063OpenAlexW2039854845MaRDI QIDQ1087735

Jean-Claude Guillot, Yves Dermenjian

Publication date: 1986

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/93093

zbMATH Keywords

propagationspectral analysisacoustic wavesdivision theoremself adjoint operatorperturbed stratified medium

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) General topics in linear spectral theory for PDEs (35P05) Hydro- and aero-acoustics (76Q05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (19)

On spectral properties of the acoustic propagator in a layered band ⋮ Inverse scattering theory for wave equations in stratified media ⋮ Spectral and scattering theory in perturbed stratified fluids. II. Transmission problems and exterior domains ⋮ Approximation by finite differences of the propagation of acoustic waves in stratified media ⋮ Mathematical analysis of electromagnetic open Waveguides ⋮ Scattering on stratified media: the microlocal properties of the scattering matrix and recovering asymptotics of perturbations. ⋮ Incompressible limits and propagation of acoustic waves in large domains with boundaries ⋮ Concentration and non-concentration of eigenfunctions of second-order elliptic operators in layered media ⋮ Spectral theory for Maxwell’s equations at the interface of a metamaterial. Part I: Generalized Fourier transform ⋮ Limiting amplitude principle for acoustic propagators in perturbed stratified fluids ⋮ Limiting amplitude princiiple for acoustic propagators in perturbed stratified fluids ⋮ On the Guided States of 3D Biperiodic Schrödinger Operators ⋮ Unnamed Item ⋮ Radiation condition and limiting amplitude principle for acoustic propagators with two unbounded media ⋮ Mathematical models of incompressible fluids as singular limits of complete fluid systems ⋮ Mathematical analysis of the propagation of elastic guided waves in heterogeneous media ⋮ Scattering theory for perturbed stratified media ⋮ Spectral theory for Maxwell’s equations at the interface of a metamaterial. Part II: Limiting absorption, limiting amplitude principles and interface resonance ⋮ Spectral analysis for optical fibres and stratified fluids. I: The limiting absorption principle

Cites Work

• Sound propagation in stratified fluids
• Spectral and scattering theory in perturbed stratified fluids
• Outgoing solutions for perturbations of -\(\Delta\) with applications to spectral and scattering theory
• Asymptotic properties of solutions of differential equations with simple characteristics
• Elastic waves in the half space \(R^2_+\)
• Outgoing solutions of \((-\Delta + q - k^ 2)u=f\) in an exterior domain
• Unitary equivalence and scattering theory for Stark-like Hamiltonians
• Spectral analysis of the Epstein operator
• Uniform Asymptotic Estimates for Wave Packets in the Quantum Theory of Scattering
• The principle of limiting absorption
• THE PRINCIPLE OF LIMIT AMPLITUDE
• Spectral analysis of the Pekeris operator in the theory of acoustic wave propagation in shallow water
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