{"title":"Necessary and Sufficient Conditions for the Existence of aWeak Solution to the Maxwell-Stokes Type Equation","authors":"J. Aramaki","doi":"10.37622/adsa/16.1.2021.133-157","DOIUrl":null,"url":null,"abstract":"In this paper, we derive necessary and sufficient conditions for the existence of a weak solution to the Maxwell-Stokes type equation associated with slip-Navier boundary condition. Our equation is nonlinear and contains, so called, p-curlcurl system. Moreover, we give a result on the continuous dependence of the weak solution on the data. 2010 Mathematics Subject Classification: 35A05, 35H30, 35A15, 35D05","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"71 1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Dynamical Systems and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37622/adsa/16.1.2021.133-157","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: 0
Abstract
In this paper, we derive necessary and sufficient conditions for the existence of a weak solution to the Maxwell-Stokes type equation associated with slip-Navier boundary condition. Our equation is nonlinear and contains, so called, p-curlcurl system. Moreover, we give a result on the continuous dependence of the weak solution on the data. 2010 Mathematics Subject Classification: 35A05, 35H30, 35A15, 35D05
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