Crime pays; homogenized wave equations for long times

DOI10.3233/ASY-211707zbMath1492.35024arXiv1803.09455MaRDI QIDQ5075585

Jeffrey Rauch, Grégoire Allaire, Agnes Lamacz-Keymling

Publication date: 16 May 2022

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.09455

zbMATH Keywords

wave equationhomogenizationdispersive effectsecular growthasymptotic crimeclassical ansatzcriminal ansatz

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Asymptotic expansions of solutions to PDEs (35C20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (7)

Crime pays; homogenized wave equations for long times ⋮ A homogenized model accounting for dispersion, interfaces and source points for transient waves in 1D periodic media ⋮ High Order Homogenized Stokes Models Capture all Three Regimes ⋮ Second-Order Homogenization of Periodic Schrödinger Operators with Highly Oscillating Potentials ⋮ A spectral ansatz for the long-time homogenization of the wave equation ⋮ High Order Homogenization of the Stokes System in a Periodic Porous Medium ⋮ High-order homogenization in optimal control by the Bloch wave method

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