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.

引用

页码：1707 / 1715

页数：9

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