Discrete double-porosity models

2014/06/06 by Andrea Braides, Braides, Andrea, Valeria Chiadò Piat +4 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Composite Material Mechanics #FOS: Mathematics #Functional Analysis (math.FA) #math.FA

paper · pdf · doi:10.48550/arxiv.1406.1752

arxiv created 2014/06/06 · openalex publication_date 2014/06/06 · arxiv updated 2014/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a discrete-to-continuous Gamma-limit of a family of high-contrast double porosity type functionals defined on a scaled integer lattice. Under periodicity and p-growth conditions we prove the homogenization result and describe the structure of the limit functional. Also, we study the convergence of the corresponding gradient flow.

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• Discrete double-porosity models for spin systems

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