Embed in ensemble to rigorously and accurately homogenize quasi-periodic multi-scale heterogeneous material

DOI10.1017/s1446181124000099MaRDI QIDQ6656022

Anthony P. Roberts

Publication date: 31 December 2024

Published in: The ANZIAM Journal (Search for Journal in Brave)

zbMATH Keywords

existenceslow manifoldemergenceconstructionany-order homogenizationensemble embeddingfinite scale separationquasi-periodic heterogeneity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

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