A spectral ansatz for the long-time homogenization of the wave equation
DOI10.5802/jep.259arXiv2303.07684OpenAlexW4392805700MaRDI QIDQ6130538
Mitia Duerinckx, Antoine Gloria, Matthias Ruf
Publication date: 3 April 2024
Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.07684
wave equationheterogeneous mediumtwo-scale expansionseffective equationsspectral correctorslong-time homogenization
Asymptotic behavior of solutions to PDEs (35B40) General topics in linear spectral theory for PDEs (35P05) Effective constitutive equations in solid mechanics (74Q15) Wave equation (35L05) Asymptotic expansions of solutions to PDEs (35C20) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Initial value problems for second-order hyperbolic equations (35L15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)
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