{"title":"Remarks on the regularity criteria for the axisymmetric MHD system","authors":"Zujin Zhang, Yali Zhang","doi":"10.4064/ap200221-15-9","DOIUrl":null,"url":null,"abstract":"We show several weighted regularity criteria for the axisymmetric solutions to the three-dimensional magnetohydrodynamic equations, involving u, u; u, b, ∂ru , ∂rb ; u, b, ∂zu, ∂zb; u, b, ∂ru, ∂rb; or ω, where u, u, u are the angular, swirl and axial components of the velocity respectively and ω denotes the swirl component of the vorticity.","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales Polonici Mathematici","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4064/ap200221-15-9","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We show several weighted regularity criteria for the axisymmetric solutions to the three-dimensional magnetohydrodynamic equations, involving u, u; u, b, ∂ru , ∂rb ; u, b, ∂zu, ∂zb; u, b, ∂ru, ∂rb; or ω, where u, u, u are the angular, swirl and axial components of the velocity respectively and ω denotes the swirl component of the vorticity.
期刊介绍：
Annales Polonici Mathematici is a continuation of Annales de la Société Polonaise de Mathématique (vols. I–XXV) founded in 1921 by Stanisław Zaremba.
The journal publishes papers in Mathematical Analysis and Geometry. Each volume appears in three issues.
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