{"title":"Remarks on the Navier-Stokes equations in space dimension 𝑛≥3","authors":"Jishan Fan, T. Ozawa","doi":"10.1090/bproc/135","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we prove some new <inline-formula content-type=\"math/mathml\">\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper L Superscript p\">\n <mml:semantics>\n <mml:msup>\n <mml:mi>L</mml:mi>\n <mml:mi>p</mml:mi>\n </mml:msup>\n <mml:annotation encoding=\"application/x-tex\">L^p</mml:annotation>\n </mml:semantics>\n</mml:math>\n</inline-formula>-estimates of the velocity by the technique of <inline-formula content-type=\"math/mathml\">\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper L Superscript p\">\n <mml:semantics>\n <mml:msup>\n <mml:mi>L</mml:mi>\n <mml:mi>p</mml:mi>\n </mml:msup>\n <mml:annotation encoding=\"application/x-tex\">L^p</mml:annotation>\n </mml:semantics>\n</mml:math>\n</inline-formula>-energy method.</p>","PeriodicalId":106316,"journal":{"name":"Proceedings of the American Mathematical Society, Series B","volume":"60 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the American Mathematical Society, Series B","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/bproc/135","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
In this paper, we prove some new LpL^p-estimates of the velocity by the technique of LpL^p-energy method.
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