On the asymptotic limit of the effectiveness of reaction-diffusion equations in periodically structured media
type: Item
instance of: scholarly article
title: On the asymptotic limit of the effectiveness of reaction-diffusion equations in periodically structured media
zbMATH Open document ID: 1373.35018
author: D. Gómez-Castro
author: A. V. Podolskiy
author: J. I. Díaz
author: T. A. Shaposhnikova
published in: Journal of Mathematical Analysis and Applications
publication date: 2017-08-10T00:00:00Z
review text: The authors study the homogenization limit (as \(\varepsilon\to 0\)) of the solution to the boundary value problem for the \(p\)-Laplace operator posed in an \(\varepsilon\)-periodically structured domain with a nonlinear Robin-type condition specified on the boundary of the periodic subdomains. The objective of this paper is twofold: (1) the investigation of the homogenization of solutions in the case of a continuous nonlinear reaction term on the boundary of the periodic structure; (2) the study of the homogenization of the effectiveness factor -- a key matter in reactor (chemical) engineering.
reviewed by: Adrian Muntean
Mathematics Subject Classification ID: 35A27
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35J66
zbMATH DE Number: 6759289
zbMATH Keywords: nonlinear Robin-type condition
zbMATH Keywords: nonlinear reaction on the boundary
MaRDI profile type: Publication
full work available at URL: j.jmaa.2017.06.036
OpenAlex ID: W2708935412
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DOI: 10.1016/J.JMAA.2017.06.036
description: scientific article; zbMATH DE number 6759289