{"title":"Large diffusivity and rate of convergence of attractors in parabolic systems","authors":"Leonardo Pires","doi":"10.2298/fil2309675p","DOIUrl":null,"url":null,"abstract":"In this paper, we are concerned with the rate of convergence of parabolic systems with large diffusion. We exhibit the exact moment that spatial homogenization occurs and estimate the continuity of attractors by a rate of convergence. We present an example where our estimate is optimal.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/fil2309675p","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we are concerned with the rate of convergence of parabolic systems with large diffusion. We exhibit the exact moment that spatial homogenization occurs and estimate the continuity of attractors by a rate of convergence. We present an example where our estimate is optimal.
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