Bilinear estimates in BMO and the Navier-Stokes equations

被引：220

作者：

Kozono, H ^{[1
]}

Taniuchi, Y

机构：

[1] Tohoku Univ, Inst Math, Sendai, Miyagi 9808578, Japan

[2] Nagoya Univ, Grad Sch Math, Nagoya, Aichi 4648602, Japan

来源：

MATHEMATISCHE ZEITSCHRIFT | 2000年 / 235卷 / 01期

关键词：

D O I：

10.1007/s002090000130

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the BMO norm of the velocity and the vorticity controls the blow-up phenomena of smooth solutions to the Navier-Stokes equations. Our result is applied to the criterion on uniqueness and regularity of weak solutions in the marginal class. Mathematics Subject Classification (1991):35Q30.

引用

页码：173 / 194

页数：22

共 21 条

[1]

[Anonymous], HARMONIC ANAL

[2]

[Anonymous], 1997, ADV DIFF EQUA

[3] REMARKS ON THE BREAKDOWN OF SMOOTH SOLUTIONS FOR THE 3-D EULER EQUATIONS [J].