Two regularity criteria for 3D Navier-Stokes equations in a bounded domain

被引：1

作者：

Fan, Jishan ^{[1
]}

Li, Fucai ^{[2
]}

Nakamura, Gen ^{[3
]}

机构：

[1] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Jiangsu, Peoples R China

[2] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

[3] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2017年 / 12卷 / 02期

基金：

中国国家自然科学基金;

关键词：

3D incompressible Navier-Stokes equations; Boussinesq system; regularity criterion; WEAK SOLUTIONS; GLOBAL REGULARITY; DIRECTION;

D O I：

10.1007/s11464-016-0611-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove two new regularity criteria for the 3D incompressible Navier-Stokes equations in a bounded domain. Our results also hold for the 3D Boussinesq system with zero heat conductivity.

引用

页码：359 / 366

页数：8

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