{"title":"四种新量规超导中随时间变化的金兹堡-朗道模型的全局强解","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":"{\"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}","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}
Global strong solutions to the time-dependent Ginzburg-Landau model in superconductivity with four new gauges
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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