{"title":"弱稳定性和湍流闭合。","authors":"C De Lellis, L Székelyhidi","doi":"10.1098/rsta.2021.0091","DOIUrl":null,"url":null,"abstract":"<p><p>We survey recent results in the mathematical literature on the equations of incompressible fluid dynamics, highlighting common themes and how they might contribute to the understanding of some phenomena in the theory of fully developed turbulence. This article is part of the theme issue 'Scaling the turbulence edifice (part 1)'.</p>","PeriodicalId":286094,"journal":{"name":"Philosophical transactions. Series A, Mathematical, physical, and engineering sciences","volume":" ","pages":"20210091"},"PeriodicalIF":0.0000,"publicationDate":"2022-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"Weak stability and closure in turbulence.\",\"authors\":\"C De Lellis, L Székelyhidi\",\"doi\":\"10.1098/rsta.2021.0091\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>We survey recent results in the mathematical literature on the equations of incompressible fluid dynamics, highlighting common themes and how they might contribute to the understanding of some phenomena in the theory of fully developed turbulence. This article is part of the theme issue 'Scaling the turbulence edifice (part 1)'.</p>\",\"PeriodicalId\":286094,\"journal\":{\"name\":\"Philosophical transactions. Series A, Mathematical, physical, and engineering sciences\",\"volume\":\" \",\"pages\":\"20210091\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-03-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Philosophical transactions. Series A, Mathematical, physical, and engineering sciences\",\"FirstCategoryId\":\"103\",\"ListUrlMain\":\"https://doi.org/10.1098/rsta.2021.0091\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2022/1/17 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Philosophical transactions. Series A, Mathematical, physical, and engineering sciences","FirstCategoryId":"103","ListUrlMain":"https://doi.org/10.1098/rsta.2021.0091","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2022/1/17 0:00:00","PubModel":"Epub","JCR":"","JCRName":"","Score":null,"Total":0}
We survey recent results in the mathematical literature on the equations of incompressible fluid dynamics, highlighting common themes and how they might contribute to the understanding of some phenomena in the theory of fully developed turbulence. This article is part of the theme issue 'Scaling the turbulence edifice (part 1)'.