Localization of high-frequency waves propagating in a locally periodic medium

DOI10.1017/S0308210509000080zbMath1204.35034OpenAlexW2328238908MaRDI QIDQ3056314

Grégoire Allaire, Luis Friz

Publication date: 11 November 2010

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210509000080

zbMATH Keywords

two-scale convergencehomogenized Schrödinger equationBloch spectral cell problem

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Traveling wave solutions (35C07)

Related Items (5)

Waves in Slowly Varying Band-Gap Media ⋮ Subcritical perturbation of a locally periodic elliptic operator ⋮ Homogenization and correctors for the wave equation with periodic coefficients ⋮ An elliptic equation in an unbounded cylinder: applications to the behavior of a wave in a thin beam with boundary conditions ⋮ A corrector for a wave problem with periodic coefficients in a 1D bounded domain

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