Periodic homogenization for inner boundary conditions with equi-valued surfaces: the unfolding approach
type: Item
instance of: scholarly article
title: Periodic homogenization for inner boundary conditions with equi-valued surfaces: the unfolding approach
zbMATH Open document ID: 1320.35042
author: D. Cioranescu
author: A. Damlamian
author: Tatsien Li
published in: Chinese Annals of Mathematics. Series B
publication date: 2013-05-29T00:00:00Z
review text: This article applies the ``unfolding method'' of \textit{D. Cioranescu} et al. [C. R., Math., Acad. Sci. Paris 335, No. 1, 99--104 (2002; Zbl 1001.49016)], and [SIAM J. Math. Anal. 40, No. 4, 1585--1620 (2008; Zbl 1167.49013)] to periodically homogenize the scalar diffusion equation with oscillating data when it is set in a bounded domain perforated by inclusions where the total flux is imposed. Making use of previous results and [\textit{D. Cioranescu} et al., SIAM J. Math. Anal. 44, No. 2, 718--760 (2012; Zbl 1250.49017)], this approach allows one to derive a corrector result without regularity assumptions about the inclusions surfaces.
reviewed by: Sebastien Boyabal
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 74Q05
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74Q15
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35Q74
zbMATH DE Number: 6168085
zbMATH Keywords: boundary value problem with assigned total flux
zbMATH Keywords: unfolding method
MaRDI profile type: Publication
full work available at URL: s11401-013-0765-0
OpenAlex ID: W2026744704
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DOI: 10.1007/S11401-013-0765-0
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description: scientific article; zbMATH DE number 6168085