通过周期展开非周期振荡边界的均匀化

Differential Equations & Applications Pub Date : 1900-01-01 DOI:10.7153/dea-2022-14-03

S. Aiyappan, K. Pettersson, A. Sufian

{"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}

引用次数: 1

摘要

。本文用周期展开的方法研究了非周期振动边界二维区域上椭圆型模型问题的均匀化问题。对于非周期振荡，采用调制展开。在定义域上的自然假设下，给出了解的l2收敛性及其通量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Differential Equations & Applications

自引率

0.00%

发文量