二维各向异性磁bassariard方程的正则性判据

IF 0.8 4区数学

数学研究 Pub Date : 2019-06-01 DOI:10.4208/JMS.V52N1.19.06

Dipendra Sharma

{"title":"二维各向异性磁bassariard方程的正则性判据","authors":"Dipendra Sharma","doi":"10.4208/JMS.V52N1.19.06","DOIUrl":null,"url":null,"abstract":"In this paper, we study the global regularity issue of two dimensional incompressible magnetic Bénard equations with partial dissipation and magnetic diffusion. It remains open whether the smooth initial data produce solutions that are globally regular in time for all values of the parameters involved in the equations. We present conditional global regularity of the solutions. Moreover, we prove the global regularity for the slightly regularized system. AMS subject classifications: 35Q35, 35B35, 35B65, 76D03","PeriodicalId":43526,"journal":{"name":"数学研究","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Regularity Criteria on the 2D Anisotropic Magnetic Bénard Equations\",\"authors\":\"Dipendra Sharma\",\"doi\":\"10.4208/JMS.V52N1.19.06\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study the global regularity issue of two dimensional incompressible magnetic Bénard equations with partial dissipation and magnetic diffusion. It remains open whether the smooth initial data produce solutions that are globally regular in time for all values of the parameters involved in the equations. We present conditional global regularity of the solutions. Moreover, we prove the global regularity for the slightly regularized system. AMS subject classifications: 35Q35, 35B35, 35B65, 76D03\",\"PeriodicalId\":43526,\"journal\":{\"name\":\"数学研究\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2019-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"数学研究\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4208/JMS.V52N1.19.06\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"数学研究","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4208/JMS.V52N1.19.06","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 3

摘要

本文研究了具有部分耗散和磁扩散的二维不可压缩磁Bénard方程的全局正则性问题。对于方程中涉及的所有参数值，平滑的初始数据是否产生在时间上全局规则的解仍然是开放的。我们给出了解的条件全局正则性。此外，我们还证明了微正则化系统的全局正则性。AMS受试者分类：35Q35、35B35、35B65、76D03

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Regularity Criteria on the 2D Anisotropic Magnetic Bénard Equations

In this paper, we study the global regularity issue of two dimensional incompressible magnetic Bénard equations with partial dissipation and magnetic diffusion. It remains open whether the smooth initial data produce solutions that are globally regular in time for all values of the parameters involved in the equations. We present conditional global regularity of the solutions. Moreover, we prove the global regularity for the slightly regularized system. AMS subject classifications: 35Q35, 35B35, 35B65, 76D03

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

数学研究 MATHEMATICS-

自引率

0.00%

发文量

1109

期刊介绍：