{"title":"无热扩散三维 MHD-Boussinesq 方程的全局正则性标准","authors":"Zhengguang Guo, Zunzun Zhang, Caidi Zhao","doi":"10.4310/cms.2024.v22.n5.a7","DOIUrl":null,"url":null,"abstract":"We study the global regularity for the three dimensional incompressible magnetohydrodynamic-Boussinesq (MHD-Boussinesq) equations. By establishing some sufficient regularity conditions in terms of partial components of velocity and magnetic fields, we prove that solutions to the MHD-Boussinesq equations without thermal diffusivity will not blow-up in any finite time.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Global regularity criteria of the 3D MHD-Boussinesq equations without thermal diffusion\",\"authors\":\"Zhengguang Guo, Zunzun Zhang, Caidi Zhao\",\"doi\":\"10.4310/cms.2024.v22.n5.a7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the global regularity for the three dimensional incompressible magnetohydrodynamic-Boussinesq (MHD-Boussinesq) equations. By establishing some sufficient regularity conditions in terms of partial components of velocity and magnetic fields, we prove that solutions to the MHD-Boussinesq equations without thermal diffusivity will not blow-up in any finite time.\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2024-07-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4310/cms.2024.v22.n5.a7\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/cms.2024.v22.n5.a7","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
Global regularity criteria of the 3D MHD-Boussinesq equations without thermal diffusion
We study the global regularity for the three dimensional incompressible magnetohydrodynamic-Boussinesq (MHD-Boussinesq) equations. By establishing some sufficient regularity conditions in terms of partial components of velocity and magnetic fields, we prove that solutions to the MHD-Boussinesq equations without thermal diffusivity will not blow-up in any finite time.
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.