Log-Lipschitz regularity of the 3D Navier-Stokes equations

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• 作者：Hantaek Bae^a ; ^{hantaek@unist.ac.kr" class="auth_mail" title="E-mail the corresponding author} ; Marco Cannone^b ; ^{marco.cannone@univ-mlv.fr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Navier&ndash ; Stokes equations ; Log-Lipschitz regularity of the velocity field ; Hö ; lder regularity of the flow map
• 刊名：Nonlinear Analysis
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：135
• 期：Complete
• 页码：223-235
• 全文大小：601 K

文摘

In this paper, we establish the Log-Lipschitz regularity of the velocity field u$u$ and Hölder regularity of the flow map 39a063e" title="Click to view the MathML source">η$\eta$ of the 3D Navier–Stokes equations with small data in critical spaces.