A note on dimension reduction for unbounded integrals with periodic microstructure via the unfolding method for slender domains
type: Item
instance of: scholarly article
title: A note on dimension reduction for unbounded integrals with periodic microstructure via the unfolding method for slender domains
zbMATH Open document ID: 1369.49015
author: Elvira Zappale
published in: Evolution Equations and Control Theory
publication date: 2017-04-25T00:00:00Z
review text: In the present work, the author focuses her attention on unbounded integral functionals with periodic microstructure, which often arise in the context of dimensional reduction for heterogeneous densities. She performs a 3D-2D dimension reduction for a nonhomogeneous constrained energy, and provides an integral representation for the limit functional via the application of the two-scale convergence for slender domains, which relies in turn on the unfolding method and \(\Gamma\)-convergence. Applications to supremal functionals in the 2D-1D dimensional reduction case are also given.
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 74Q05
zbMATH DE Number: 6707571
zbMATH Keywords: dimensional reduction
zbMATH Keywords: homogenization
zbMATH Keywords: unbounded functionals
zbMATH Keywords: gradient constrained problems
zbMATH Keywords: supremal functionals
MaRDI profile type: Publication
full work available at URL: eect.2017016
OpenAlex ID: W2604937511
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DOI: 10.3934/EECT.2017016
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description: scientific article; zbMATH DE number 6707571