{"title":"Homogenization of a non-periodic oscillating boundary via periodic unfolding","authors":"S. Aiyappan, K. Pettersson, A. Sufian","doi":"10.7153/dea-2022-14-03","DOIUrl":null,"url":null,"abstract":". This paper deals with the homogenization of an elliptic model problem in a two- dimensional domain with non-periodic oscillating boundary by the method of periodic unfolding. For the non-periodic oscillations, a modulated unfolding is used. The L 2 convergence of the solutions and their fl uxes are shown, under natural hypotheses on the domain.","PeriodicalId":179999,"journal":{"name":"Differential Equations & Applications","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations & Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/dea-2022-14-03","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
. This paper deals with the homogenization of an elliptic model problem in a two- dimensional domain with non-periodic oscillating boundary by the method of periodic unfolding. For the non-periodic oscillations, a modulated unfolding is used. The L 2 convergence of the solutions and their fl uxes are shown, under natural hypotheses on the domain.