{"title":"Asymptotic behavior of short trajectories to nonhomogeneous heat-conducting magnetohydrodynamic equations","authors":"P. Han, Keke Lei, Chenggang Liu, Xuewen Wang","doi":"10.4310/dpde.2022.v19.n3.a3","DOIUrl":null,"url":null,"abstract":". In this paper, we study the asymptotic behavior of short trajectories of weak solutions to the 2D nonhomogeneous heat-conducting magneto- hydrodynamic equations. Several bounds for short trajectories are obtained. An attracting set is constructed, which consists of orbits on [0 , 1] of complete bounded solutions. Furthermore, the attracting set is compact in different topologies.","PeriodicalId":50562,"journal":{"name":"Dynamics of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Dynamics of Partial Differential Equations","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/dpde.2022.v19.n3.a3","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 1
Abstract
. In this paper, we study the asymptotic behavior of short trajectories of weak solutions to the 2D nonhomogeneous heat-conducting magneto- hydrodynamic equations. Several bounds for short trajectories are obtained. An attracting set is constructed, which consists of orbits on [0 , 1] of complete bounded solutions. Furthermore, the attracting set is compact in different topologies.
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