{"title":"Long Time Well-Posedness of the MHD Boundary Layer Equation in Sobolev Space","authors":"Dongxiang Chen","doi":"10.4208/ata.oa-0015","DOIUrl":null,"url":null,"abstract":"In this paper, we study the long time well-posedness of 2-D MHD boundary layer equation. It was proved that if the initial data satisfies ‖(u0, h0 − 1)‖H3,0 μ ∩H1,2 μ ≤ ε, then the life span of the solution is at least of order ε2−η for η > 0.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"18 1","pages":"1-18"},"PeriodicalIF":0.4000,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analysis in Theory and Applications","FirstCategoryId":"95","ListUrlMain":"https://doi.org/10.4208/ata.oa-0015","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 2
Abstract
In this paper, we study the long time well-posedness of 2-D MHD boundary layer equation. It was proved that if the initial data satisfies ‖(u0, h0 − 1)‖H3,0 μ ∩H1,2 μ ≤ ε, then the life span of the solution is at least of order ε2−η for η > 0.
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