Dispersive limits in the homogenization of the wave equation.

DOI10.5802/afst.1055zbMath1070.35006OpenAlexW2332382308MaRDI QIDQ1890431

Grégoire Allaire

Publication date: 3 January 2005

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_2003_6_12_4_415_0

zbMATH Keywords

Klein-Gordon equationperiodic mediumhomogenized problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (12)

Propagation of one- and two-dimensional discrete waves under finite difference approximation ⋮ Diffractive behavior of the wave equation in periodic media: weak convergence analysis ⋮ Dispersive homogenized models and coefficient formulas for waves in general periodic media ⋮ Representation of solutions to wave equations with profile functions ⋮ Homogenization of a coupled system with periodic oscillating coefficients ⋮ On the Bloch decomposition based spectral method for wave propagation in periodic media ⋮ Resonance meets homogenization. Construction of meta-materials with astonishing properties ⋮ Homogenization of periodic systems with large potentials ⋮ Homogenization of periodic non self-adjoint problems with large drift and potential ⋮ Diffractive geometric optics for Bloch wave packets ⋮ DISPERSIVE EFFECTIVE MODELS FOR WAVES IN HETEROGENEOUS MEDIA ⋮ Bloch-Wave Homogenization on Large Time Scales and Dispersive Effective Wave Equations

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