A remark on the blow-up criterion of strong solutions to the Navier-Stokes equations

被引：9
|
作者：
Gala, Sadek [1 ]
机构：
[1] Univ Mostaganem, Dept Math, Mostaganem 27000, Algeria
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 22期
关键词：
B-{infinity; infinity}(-1)-norm; Blow-up phenomena; Navier-Stokes equations; WEAK SOLUTIONS; BESOV-SPACES; REGULARITY;
D O I：
10.1016/j.amc.2011.03.156
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note, we prove that B-infinity,infinity(-1)-norm of the vorticity controls the blow-up phenomena of strong solutions to the Navier-Stokes equations. Our criterion is a limiting case in Yuan-Zhang [11] and an improvement of Giga's result [3]. (C) 2011 Elsevier Inc. All rights reserved.
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页码：9488 / 9491
页数：4
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