{"title":"具有混合部分耗散的二维磁bassanard系统的全局光滑大解","authors":"Yugui Cao, Yinxia Wang","doi":"10.23952/asvao.4.2022.2.05","DOIUrl":null,"url":null,"abstract":". This paper focuses on the initial value problem for two-dimensional magnetic B´enard system with the partial dissipation and zero diffusivity. Based on the energy estimates and the tricky analytical skills, we prove that the problem always exist a unique global smooth solution without any smallness restriction on the initial data.","PeriodicalId":362333,"journal":{"name":"Applied Set-Valued Analysis and Optimization","volume":"370 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Global smooth large solutions to 2D magnetic Bénard systems with mixed partial dissipation\",\"authors\":\"Yugui Cao, Yinxia Wang\",\"doi\":\"10.23952/asvao.4.2022.2.05\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". This paper focuses on the initial value problem for two-dimensional magnetic B´enard system with the partial dissipation and zero diffusivity. Based on the energy estimates and the tricky analytical skills, we prove that the problem always exist a unique global smooth solution without any smallness restriction on the initial data.\",\"PeriodicalId\":362333,\"journal\":{\"name\":\"Applied Set-Valued Analysis and Optimization\",\"volume\":\"370 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Set-Valued Analysis and Optimization\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23952/asvao.4.2022.2.05\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Set-Valued Analysis and Optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23952/asvao.4.2022.2.05","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Global smooth large solutions to 2D magnetic Bénard systems with mixed partial dissipation
. This paper focuses on the initial value problem for two-dimensional magnetic B´enard system with the partial dissipation and zero diffusivity. Based on the energy estimates and the tricky analytical skills, we prove that the problem always exist a unique global smooth solution without any smallness restriction on the initial data.