{"title":"Maxwell-Stokes型方程弱解存在的充分必要条件","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":"{\"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}","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}
Necessary and Sufficient Conditions for the Existence of aWeak Solution to the Maxwell-Stokes Type Equation
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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