On logarithmically improved regularity criteria for the Navier-Stokes equations in Rn

被引：7

作者：

Fan, Jishan ^{[2
]}

Jiang, Song ^{[1
]}

Nakamura, Gen ^{[3
]}

机构：

[1] Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100088, Peoples R China

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

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

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 2011年 / 76卷 / 02期

关键词：

Navier-Stokes equations; regularity criteria; Besov spaces; BMO space; WEAK SOLUTIONS; PRESSURE; SPACES; TERMS; BESOV; EULER; LP;

D O I：

10.1093/imamat/hxq035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Cauchy problem for the n-dimensional Navier-Stokes equations (n >= 3). By delicately adapting and combining the different techniques from the literature, we prove some logarithmicallyimproved regularity criteria in terms of the velocity, vorticity, pressure and gradient of the pressure, respectively.

引用

页码：298 / 311

页数：14

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