Variational convergences under moving anisotropies

2025/04/03 by Alberto Maione, Maione, Alberto, Fabio Paronetto +3 · 1 citation
Computer Science · Engineering · #49J45 #49Q20 #53C17 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Variational Analysis #Topology Optimization in Engineering

paper · pdf · doi:10.48550/arxiv.2504.02552

openalex publication_date 2025/04/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the asymptotic behaviour of sequences of integral functionals depending on moving anisotropies. We introduce and describe the relevant functional setting, establishing uniform Meyers-Serrin type approximations, Poincaré inequalities and compactness properties. We prove several Γ-convergence results, and apply the latter to the study of H-convergence of anisotropic linear differential operators.

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• A survey on anisotropic integral representation results

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