{"title":"The Boundedness of the Pullback Attractor for a 2D Micropolar Fluid Flows","authors":"Wen-long Sun, Chun-lin Lai, Yun-yun Liang","doi":"10.1007/s10255-024-1057-z","DOIUrl":null,"url":null,"abstract":"<div><p>The purpose of this work is to investigate the boundedness of the pullback attractors for the micropolar fluid flows in two-dimensional unbounded domains. Exactly, the <i>H</i><sup>1</sup>-boundedness and <i>H</i><sup>2</sup>-boundedness of the pullback attractors are established when the external force <i>F</i>(<i>t</i>, <i>x</i>) has different regularity with respect to time variable, respectively.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 3","pages":"806 - 817"},"PeriodicalIF":0.9000,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematicae Applicatae Sinica, English Series","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10255-024-1057-z","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
The purpose of this work is to investigate the boundedness of the pullback attractors for the micropolar fluid flows in two-dimensional unbounded domains. Exactly, the H1-boundedness and H2-boundedness of the pullback attractors are established when the external force F(t, x) has different regularity with respect to time variable, respectively.
期刊介绍:
Acta Mathematicae Applicatae Sinica (English Series) is a quarterly journal established by the Chinese Mathematical Society. The journal publishes high quality research papers from all branches of applied mathematics, and particularly welcomes those from partial differential equations, computational mathematics, applied probability, mathematical finance, statistics, dynamical systems, optimization and management science.