{"title":"Decay characterization of weak solutions for the MHD micropolar equations on R2","authors":"Felipe W. Cruz, Mirelle M. Sousa","doi":"10.1016/j.na.2024.113701","DOIUrl":null,"url":null,"abstract":"<div><div>We establish the characterization of decay rates of solutions to the 2D MHD micropolar system in terms of the decay character of the initial data. We also prove a faster decay rate for the micro-rotation. Moreover, we study the large time behavior of solutions by comparing them to solutions of the linear part. It is also shown that the difference between the micro-rotational field and its linear part decays faster.</div></div>","PeriodicalId":49749,"journal":{"name":"Nonlinear Analysis-Theory Methods & Applications","volume":"251 ","pages":"Article 113701"},"PeriodicalIF":1.3000,"publicationDate":"2024-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis-Theory Methods & Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0362546X24002207","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We establish the characterization of decay rates of solutions to the 2D MHD micropolar system in terms of the decay character of the initial data. We also prove a faster decay rate for the micro-rotation. Moreover, we study the large time behavior of solutions by comparing them to solutions of the linear part. It is also shown that the difference between the micro-rotational field and its linear part decays faster.
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Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication.
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