An almost Serrin-type regularity criterion for the Navier-Stokes equations involving the gradient of one velocity component

被引：13
|
作者：
Zhang, Zujin [1 ]
机构：
[1] Gannan Normal Univ, Sch Math & Comp Sci, Ganzhou 341000, Jiangxi, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2015年 / 66卷 / 04期
关键词：
Regularity criteria; Navier-Stokes equations; Weak solutions; WEAK SOLUTIONS;
D O I：
10.1007/s00033-015-0500-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper concerns about the Cauchy problem for the three-dimensional Navier-Stokes equations and provides a regularity criterion in terms of the gradient of one velocity component. This improves previous results.
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页码：1707 / 1715
页数：9
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