具有任意数量空间和时间尺度的单调抛物问题的同质化

Pub Date : 2023-12-18 DOI:10.21136/AM.2023.0269-22

Tatiana Danielsson, Liselott Flodén, Pernilla Johnsen, Marianne Olsson Lindberg

{"title":"具有任意数量空间和时间尺度的单调抛物问题的同质化","authors":"Tatiana Danielsson, Liselott Flodén, Pernilla Johnsen, Marianne Olsson Lindberg","doi":"10.21136/AM.2023.0269-22","DOIUrl":null,"url":null,"abstract":"<div><p>We prove a general homogenization result for monotone parabolic problems with an arbitrary number of microscopic scales in space as well as in time, where the scale functions are not necessarily powers of the scale parameter <i>ε</i>. The main tools for the homogenization procedure are multiscale convergence and very weak multiscale convergence, both adapted to evolution problems.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Homogenization of monotone parabolic problems with an arbitrary number of spatial and temporal scales\",\"authors\":\"Tatiana Danielsson, Liselott Flodén, Pernilla Johnsen, Marianne Olsson Lindberg\",\"doi\":\"10.21136/AM.2023.0269-22\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We prove a general homogenization result for monotone parabolic problems with an arbitrary number of microscopic scales in space as well as in time, where the scale functions are not necessarily powers of the scale parameter <i>ε</i>. The main tools for the homogenization procedure are multiscale convergence and very weak multiscale convergence, both adapted to evolution problems.</p></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-12-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.21136/AM.2023.0269-22\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.21136/AM.2023.0269-22","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

我们证明了具有任意数量微观尺度的空间和时间单调抛物线问题的一般同质化结果，其中尺度函数不一定是尺度参数ε的幂。

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

Homogenization of monotone parabolic problems with an arbitrary number of spatial and temporal scales

We prove a general homogenization result for monotone parabolic problems with an arbitrary number of microscopic scales in space as well as in time, where the scale functions are not necessarily powers of the scale parameter ε. The main tools for the homogenization procedure are multiscale convergence and very weak multiscale convergence, both adapted to evolution problems.

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