{"title":"Existence of a Weak Solution to the Maxwell-Stokes Type Equation by the Penalty Method","authors":"J. Aramaki","doi":"10.37622/ADSA/15.2.2020.231-247","DOIUrl":null,"url":null,"abstract":"In this paper, we show the existence of a weak solution to the Maxwell-Stokes type equation by the penalty method introduced by Temam. Our approximate equation is nonlinear and contains so called p-curl system. Furthermore, we obtain the continuous dependence of the weak solution on the data.","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"14 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Dynamical Systems and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37622/ADSA/15.2.2020.231-247","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: 1
Abstract
In this paper, we show the existence of a weak solution to the Maxwell-Stokes type equation by the penalty method introduced by Temam. Our approximate equation is nonlinear and contains so called p-curl system. Furthermore, we obtain the continuous dependence of the weak solution on the data.
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