Bloch-wave homogenization for a spectral problem in fluid-solid structures

DOI10.1007/BF02198140zbMath0857.73008MaRDI QIDQ1817421

Grégoire Allaire, Carlos Conca

Publication date: 9 March 1997

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

vibrationsasymptotic analysistwo-scale convergenceBloch spectrumlimit spectrumBloch-wave decompositionboundary-layer spectrumhomogenized spectrum

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Inhomogeneity in solid mechanics (74E05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (13)

Bloch wave homogenization and spectral asymptotic analysis ⋮ Spectral asymptotics of the Helmholtz model in fluid-solid structures ⋮ A Decomposition Result for the Pressure of a Fluid in a Thin Domain and Extensions to Elasticity Problems ⋮ Homogenization in polygonal domains ⋮ Homogenization and Bloch wave method for fluid tube bundle interaction ⋮ Bloch-wave homogenization for spectral asymptotic analysis of the periodic Maxwell operator ⋮ Fourier approach to homogenization problems ⋮ Bloch wave homogenization of linear elasticity system ⋮ High-frequency spectral analysis of thin periodic acoustic strips: Theory and numerics ⋮ Homogenization of a non-stationary periodic Maxwell system in the case of constant permeability ⋮ Homogenization of the eigenvalues of the Neumann-Poincaré operator ⋮ Homogenization of a multiscale viscoelastic model with nonlocal damping, application to the human lungs ⋮ Operator-norm homogenisation estimates for the system of Maxwell equations on periodic singular structures

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