Second order corrector in the homogenization of a conductive-radiative heat transfer problem
type: Item
instance of: scholarly article
title: Second order corrector in the homogenization of a conductive-radiative heat transfer problem
zbMATH Open document ID: 1270.35053
author: Grégoire Allaire
author: Zakaria Habibi
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2013-03-19T00:00:00Z
review text: The interest of the authors lies in proving rigorous convergence rates for the homogenization limit (the so-called ``corrector estimates''). It turns out that for the discussed conductive-radiative problem second order correctors are needed to control oscillating temperature gradients in a local fashion. Note that here the radiative effect is described by means of a non-local boundary condition, a fact which introduces an essential non-standard feature in this framework.
reviewed by: Adrian Muntean
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 80M40
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 6146697
zbMATH Keywords: corrector estimates
zbMATH Keywords: oscillating temperature gradients
MaRDI profile type: Publication
full work available at URL: dcdsb.2013.18.1
OpenAlex ID: W2323943623
DOI: 10.3934/DCDSB.2013.18.1
description: scientific article; zbMATH DE number 6146697