Navier-Stokes equations with vorticity in Besov spaces of negative regular indices

被引：21

作者：

Zhang, Zujin ^{[1
]}

Yang, Xian ^{[2
]}

机构：

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

[2] Ganzhou Teachers Coll, Foreign Language Dept, Ganzhou 341000, Jiangxi, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 440卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Regularity criteria; Navier-Stokes equations; BLOW-UP CRITERION; WEAK SOLUTIONS; INTERIOR REGULARITY;

D O I：

10.1016/j.jmaa.2016.03.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the Cauchy problem for the three-dimensional Navier-Stokes equations, and shows that the condition del x u is an element of L2/2-r (0, T; (B) over dot(infinity,infinity)(-r)), 0 < r < 2 ensures the regularity of the solution on (0, T). This improves and extends many previous results. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：415 / 419

页数：5

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