Asymptotic Expansions for Eigenvalues of the Lamé System in the Presence of Small Inclusions

DOI10.1080/03605300600910266zbMath1136.35058OpenAlexW2056911157MaRDI QIDQ5437541

Hyeonbae Kang, Hyundae Lee, Habib Ammari

Publication date: 21 January 2008

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300600910266

zbMATH Keywords

asymptotic expansioneigenvaluesmeromorphic functionLamé systemintegral kernelsmall inclusion

Mathematics Subject Classification ID

Related Items (11)

High Order Topological Asymptotics: Reconciling Layer Potentials and Compound Asymptotic Expansions ⋮ Asymptotic analysis of high-contrast phononic crystals and a criterion for the band-gap opening ⋮ The Foldy-Lax approximation of the scattered waves by many small bodies for the Lamé system ⋮ Nearly cloaking the elastic wave fields ⋮ Perturbation of the scattering resonances of an open cavity by small particles. I: The transverse magnetic polarization case ⋮ Recovering complex elastic scatterers by a single far-field pattern ⋮ Elastic scattering by finitely many point-like obstacles ⋮ Layer potential techniques in spectral analysis. Part I: Complete asymptotic expansions for eigenvalues of the Laplacian in domains with small inclusions ⋮ Asymptotic of the velocity of a dilute suspension of droplets with interfacial tension ⋮ Decoupling elastic waves and its applications ⋮ Direct and inverse time-harmonic elastic scattering from point-like and extended obstacles

Cites Work

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• Boundary value problems for the systems of elastostatics in Lipschitz domains
• Singular variation of domains and eigenvalues of the Laplacian
• Potential and scattering theory on wildly perturbed domains
• Splitting of resonant and scattering frequencies under shape deformation
• Reconstruction of small inhomogeneities from boundary measurements
• Asymptotic expansions for eigenvalues in the presence of small inhomogeneities

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