Homogenization of a non-periodic oscillating boundary via periodic unfolding

DOI10.7153/dea-2022-14-03zbMath1490.35028OpenAlexW4226324239WikidataQ115157901 ScholiaQ115157901MaRDI QIDQ5078631

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Publication date: 23 May 2022

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-2022-14-03

zbMATH Keywords

asymptotic analysisoscillating boundaryperiodic unfolding

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Asymptotic analysis for problems in thermodynamics and heat transfer (80M35)

Related Items (1)

Homogenization of semi-linear optimal control problems on oscillating domains with matrix coefficients

Cites Work

• Thin domains with non-smooth periodic oscillatory boundaries
• Homogenization of the brush problem with a source term in \(L^{1}\)
• Homogenization of oscillating boundaries
• Generalization of unfolding operator for highly oscillating smooth boundary domains and homogenization
• Locally periodic unfolding operator for highly oscillating rough domains
• Junction of a periodic family of elastic rods with a 3d plate. I.
• Correctors for the Neumann problem in thin domains with locally periodic oscillatory structure
• The Periodic Unfolding Method
• The Periodic Unfolding Method in Homogenization

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