Remarks on logarithmical regularity criteria for the Navier-Stokes equations

被引:37
作者
Guo, Zhengguang [1 ]
Gala, Sadek [2 ]
机构
[1] WenZhou Univ, Coll Math & Informat Sci, Wenzhou 325035, Zhejiang, Peoples R China
[2] Univ Mostaganem, Dept Math, Mostaganem 27007, Algeria
关键词
TERMS; PRESSURE; LP;
D O I
10.1063/1.3569967
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper we establish some new logarithmically improved regularity criteria for the Navier-Stokes equations in the homogeneous Besov space B-infinity,infinity(-1). (C) 2011 American Institute of Physics. [doi: 10.1063/1.3569967]
引用
收藏
页数:9
相关论文
共 27 条
[1]  
[Anonymous], 1970, SINGULAR INTEGRALS D
[2]  
[Anonymous], 1996, SE M E QUATIONS DE R
[3]  
Chan CH, 2007, METHODS APPL ANAL, V14, P197
[4]  
Fan J., J MATH FLUI IN PRESS
[5]   On regularity criteria for the n-dimensional Navier-Stokes equations in terms of the pressure [J].
Fan, Jishan ;
Jiang, Song ;
Ni, Guoxi .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 244 (11) :2963-2979
[6]   SOLUTIONS FOR SEMILINEAR PARABOLIC EQUATIONS IN LP AND REGULARITY OF WEAK SOLUTIONS OF THE NAVIER-STOKES SYSTEM [J].
GIGA, Y .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1986, 62 (02) :186-212
[7]  
GUO Z, 2011, COMMUN PURE IN PRESS
[8]  
Hopf E., 1951, Math. Nachr., V4, P213, DOI [/10.1002/mana.3210040121, DOI 10.1002/MANA.3210040121]
[9]   COMMUTATOR ESTIMATES AND THE EULER AND NAVIER-STOKES EQUATIONS [J].
KATO, T ;
PONCE, G .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1988, 41 (07) :891-907