Detection of scales of heterogeneity and parabolic homogenization applying very weak multiscale convergence
type: Item
instance of: scholarly article
title: Detection of scales of heterogeneity and parabolic homogenization applying very weak multiscale convergence
zbMATH Open document ID: 1232.35016
published in: Annals of Functional Analysis
publication date: 2011-08-03T00:00:00Z
full work available at URL: https://eudml.org/doc/226871
full work available at URL: AFA-tex v2 n1 a8.pdf
review text: The authors study homogenization for certain problems. The approach is not classical; they use a convergence that they call ``very weak multiscale convergence'', already introduced in a previous paper by the same authors [Appl. Math. Lett. 23, No. 10, 1170--1173 (2010; Zbl 1198.35023)]. The idea is to find (via the very weak multiscale convergence) the scales of heterogeneity of a problem, even if it seems that one has to guess the frequencies of oscillation of the coefficients of the equation under study. As an example, they study the homogenization of particular linear parabolic equations in divergence form in which the matrix defining the operator depends on many variables.
reviewed by: Fabio Paronetto
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 35K10
Mathematics Subject Classification ID: 46B50
zbMATH DE Number: 5935723
zbMATH Keywords: homogenization
zbMATH Keywords: parabolic
zbMATH Keywords: two-scale convergence
zbMATH Keywords: multiscale convergence
zbMATH Keywords: very weak multiscale convergence
author: L. Flodén
author: A. Holmbom
author: M. Olsson Lindberg
author: Jens Persson
MaRDI profile type: Publication
OpenAlex ID: W1993268478
DOI: 10.15352/AFA/1399900264
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description: scientific article; zbMATH DE number 5935723