{"title":"Global strong solutions to the time-dependent Ginzburg-Landau model in superconductivity with four new gauges","authors":"Jishan Fan, T. Ozawa","doi":"10.12988/NADE.2016.6754","DOIUrl":null,"url":null,"abstract":"We propose new gauge conditions for the time-dependent GinzburgLandau model in superconductivity. The global existence of unique strong solutions is proved for the initial boundary problem for the timedependent Ginzburg-Landau equations in three space dimensions under new gauge conditions. Mathematics Subject Classifications: 35A05, 35A40, 35K55, 82D55","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"17 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis and Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/NADE.2016.6754","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
We propose new gauge conditions for the time-dependent GinzburgLandau model in superconductivity. The global existence of unique strong solutions is proved for the initial boundary problem for the timedependent Ginzburg-Landau equations in three space dimensions under new gauge conditions. Mathematics Subject Classifications: 35A05, 35A40, 35K55, 82D55
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