{"title":"通过周期展开非周期振荡边界的均匀化","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":"{\"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}","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}
Homogenization of a non-periodic oscillating boundary via periodic unfolding
. 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.