Logarithmically improved regularity criteria for the Navier-Stokes equations in Lorentz spaces

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• 作者：Zhiqiang Wei ; Yu-Zhu Wang ; ^{yuzhuw.1008@yahoo.com.cn} ; Yin-Xia Wang
• 关键词：Navier&ndash ; Stokes equations ; Regularity criteria ; Lorentz spaces
• 刊名：Applied Mathematics and Computation
• 出版年：2012
• 期刊代码：7_00963003
• 类别：cp
• 出版时间：1 June, 2012
• 卷：218
• 期：19
• 页码：9848-9852
• 文件大小：168 K

摘要

In this paper we investigate three-dimensional incompressible Navier-Stokes equations. We establish some logarithmically improved regularity criteria in term of the Lorentz spaces to the Navier-Stokes equations.