Homogenization in perforated domains at the critical scale

DOI10.1016/j.na.2023.113436zbMath1530.49012arXiv2304.01123OpenAlexW4388251000MaRDI QIDQ6185367

Giuseppe Cosma Brusca

Publication date: 8 January 2024

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.01123

zbMATH Keywords

capacityhomogenization\(\varGamma\)-convergenceperforated domains

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Cites Work

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• An introduction to \(\Gamma\)-convergence
• Asymptotic analysis of periodically-perforated nonlinear media.
• The limit of Dirichlet systems for variable monotone operators in general perforated domains.
• Homogenization in a periodic medium{\dots} or not. An introduction
• Analysis of Concentration and Oscillation Effects Generated by Gradients
• A Generalized Strange Term in Signorini's Type Problems
• An MsFEM Type Approach for Perforated Domains
• The Periodic Unfolding Method in Homogenization
• ASYMPTOTIC ANALYSIS OF PERIODICALLY-PERFORATED NONLINEAR MEDIA AT THE CRITICAL EXPONENT
• Separation of scales and almost-periodic effects in the asymptotic behaviour of perforated periodic media

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