{"title":"Geometric Constraints for Global Regularity of 3D Shear Thickening Fluids","authors":"Jia-qi Yang","doi":"10.1007/s10255-024-1114-7","DOIUrl":null,"url":null,"abstract":"<div><p>We consider the relation between the direction of the vorticity and the global regularity of 3D shear thickening fluids. It is showed that a weak solution to the non-Newtonian incompressible fluid in the whole space is strong if the direction of the vorticity is <span>\\({{11 - 5p} \\over 2}\\)</span>-Hölder continuous with respect to the space variables when <span>\\(2 < p < {{11} \\over 5}\\)</span>.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10255-024-1114-7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We consider the relation between the direction of the vorticity and the global regularity of 3D shear thickening fluids. It is showed that a weak solution to the non-Newtonian incompressible fluid in the whole space is strong if the direction of the vorticity is \({{11 - 5p} \over 2}\)-Hölder continuous with respect to the space variables when \(2 < p < {{11} \over 5}\).
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