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
收藏
页码：415 / 419
页数：5
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