Full Two-Scale Asymptotic Expansion and Higher-Order Constitutive Laws in the Homogenization of the System of Quasi-static Maxwell Equations

DOI10.1137/15M1042103zbMath1379.35305arXiv1509.01071MaRDI QIDQ5737740

James A. Evans, Kirill D. Cherednichenko

Publication date: 30 May 2017

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.01071

zbMATH Keywords

homogenizationMaxwell equationsasymptotic analysisconstitutive laws

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Asymptotic expansions of solutions to PDEs (35C20) Composite media; random media in optics and electromagnetic theory (78A48) Electromagnetic theory (general) (78A25) Homogenization in optics and electromagnetic theory (78M40) Maxwell equations (35Q61)

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