Navier-Stokes equations with regularity in two entries of the velocity gradient tensor

被引：1

作者：

Zhang, Zujin ^{[1
]}

Li, Peng ^{[2
]}

Zhong, Dingxing ^{[1
]}

机构：

[1] Gannan Normal Univ, Sch Math & Comp Sci, Ganzhou 341000, Jiangxi, Peoples R China

[2] Ludong Univ, Sch Math & Stat Sci, Yantai 264025, Shandong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 228卷

基金：

中国国家自然科学基金;

关键词：

Navier-Stokes equations; Regularity criteria; WEAK SOLUTIONS; CRITERIA; PRESSURE; TERMS;

D O I：

10.1016/j.amc.2013.12.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns itself the regularity criteria for the three-dimensional Navier-Stokes equations. In particular, it is proved that if partial derivative(1)u(3), partial derivative(3)u(3) is an element of L-3/16 (O, T; L-2(R-3)), or partial derivative(1)u(3), partial derivative(2)u(3) is an element of L-8(O, T; L-2(R-3)), then the solution is in fact smooth on (O, T). Crown Copyright (C) 2013 Published by Elsevier Inc. All rights reserved.

引用

页码：546 / 551

页数：6

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