REMARK ON THE BLOW-UP CRITERION OF STRONG SOLUTIONS TO THE NAVIER-STOKES EQUATIONS IN MULTIPLIER SPACES

被引：0

作者：

Gala, Sadek ^{[1
]}

机构：

[1] Univ Mostaganem, Dept Math, Mostaganem 27000, Algeria

来源：

ACTA MATHEMATICA SCIENTIA | 2010年 / 30卷 / 05期

关键词：

Navier-Stokes equation; blow-up criterion; a priori estimates; WEAK SOLUTIONS; BESOV-SPACES; REGULARITY;

D O I：

10.1016/S0252-9602(10)60133-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we prove that (X) over dot(r) (0 < r < 1) norm of the vorticity controls the blow-up phenomena of strong solutions to the Navier-Stokes equations in R(3).

引用

页码：1413 / 1418

页数：6

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