{"title":"On the Regularity criterion on One velocity Component for the micropolar fluid equations","authors":"R. Agarwal, Ahmad M. Alghamdi, S. Gala, M. Ragusa","doi":"10.3846/mma.2023.15261","DOIUrl":null,"url":null,"abstract":"In this paper, we establish a regularity criterion for micropolar fluid flows in terms of the one component of the velocity in critical Morrey-Campanato space. More precisely, we show that if ...<∞, where 0<r<9/10 then the weak solution (u,w) is regular.","PeriodicalId":49861,"journal":{"name":"Mathematical Modelling and Analysis","volume":"1 1","pages":"271-284"},"PeriodicalIF":1.6000,"publicationDate":"2023-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Modelling and Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3846/mma.2023.15261","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 4
Abstract
In this paper, we establish a regularity criterion for micropolar fluid flows in terms of the one component of the velocity in critical Morrey-Campanato space. More precisely, we show that if ...<∞, where 0