{"title":"基于一个速度分量梯度的Navier-Stokes方程的乘子空间正则性判据","authors":"A. Alghamdi, S. Gala, M. Ragusa","doi":"10.46298/cm.10267","DOIUrl":null,"url":null,"abstract":"In this paper, we study regularity of weak solutions to the incompressible\nNavier-Stokes equations in $\\mathbb{R}^{3}\\times (0,T)$. The main goal is to\nestablish the regularity criterion via the gradient of one velocity component\nin multiplier spaces.","PeriodicalId":37836,"journal":{"name":"Communications in Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"A regularity criterion in multiplier spaces to Navier-Stokes equations via the gradient of one velocity component\",\"authors\":\"A. Alghamdi, S. Gala, M. Ragusa\",\"doi\":\"10.46298/cm.10267\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study regularity of weak solutions to the incompressible\\nNavier-Stokes equations in $\\\\mathbb{R}^{3}\\\\times (0,T)$. The main goal is to\\nestablish the regularity criterion via the gradient of one velocity component\\nin multiplier spaces.\",\"PeriodicalId\":37836,\"journal\":{\"name\":\"Communications in Mathematics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-11-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46298/cm.10267\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/cm.10267","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
A regularity criterion in multiplier spaces to Navier-Stokes equations via the gradient of one velocity component
In this paper, we study regularity of weak solutions to the incompressible
Navier-Stokes equations in $\mathbb{R}^{3}\times (0,T)$. The main goal is to
establish the regularity criterion via the gradient of one velocity component
in multiplier spaces.
期刊介绍：
Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.
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