{"title":"用压力梯度表示Navier-Stokes方程的正则性准则","authors":"Stefano Bosia, M. Conti, V. Pata","doi":"10.2478/s11533-013-0395-5","DOIUrl":null,"url":null,"abstract":"The incompressible three-dimensional Navier-Stokes equations are considered. A new regularity criterion for weak solutions is established in terms of the pressure gradient.","PeriodicalId":50988,"journal":{"name":"Central European Journal of Mathematics","volume":"73 1","pages":"1015-1025"},"PeriodicalIF":0.0000,"publicationDate":"2014-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"A regularity criterion for the Navier-Stokes equations in terms of the pressure gradient\",\"authors\":\"Stefano Bosia, M. Conti, V. Pata\",\"doi\":\"10.2478/s11533-013-0395-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The incompressible three-dimensional Navier-Stokes equations are considered. A new regularity criterion for weak solutions is established in terms of the pressure gradient.\",\"PeriodicalId\":50988,\"journal\":{\"name\":\"Central European Journal of Mathematics\",\"volume\":\"73 1\",\"pages\":\"1015-1025\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-05-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Central European Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/s11533-013-0395-5\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Central European Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/s11533-013-0395-5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A regularity criterion for the Navier-Stokes equations in terms of the pressure gradient
The incompressible three-dimensional Navier-Stokes equations are considered. A new regularity criterion for weak solutions is established in terms of the pressure gradient.