Logarithmically improved regularity criterion for the Boussinesq equations in Besov spaces with negative indices

被引：95

作者：

Gala, Sadek ^{[1
]}

Ragusa, Maria Alessandra ^{[2
]}

机构：

[1] Univ Mostaganem, Dept Math, Box 227, Mostaganem 27000, Algeria

[2] Univ Catania, Dipartimento Matemat & Informat, Viale Andrea Doria, I-695125 Catania, Italy

来源：

APPLICABLE ANALYSIS | 2016年 / 95卷 / 06期

关键词：

35Q35; 76D03; Boussinesq equations; regularity criterion; NAVIER-STOKES EQUATIONS; BLOW-UP CRITERION; WEAK SOLUTION; SYSTEM;

D O I：

10.1080/00036811.2015.1061122

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to establish a logarithmically improved the regularity criterion in terms of the homogeneous Besov space [GRAPHICS] to the Boussinesq equations. We prove the solution [GRAPHICS] is smooth up to time [GRAPHICS] provided that [GRAPHICS] for some [GRAPHICS] and [GRAPHICS] .

引用

页码：1271 / 1279

页数：9

共 35 条

[1]

[Anonymous], 2003, INTRO PDES WAVES ATM

[2]

[Anonymous], 2003, USP MAT NAUK

[3]

[Anonymous], 1976, GRUNDLEHREN MATH WIS

[4]

Cannon J., 1980, Lecture Notes in Math., V771, P129

[5] Local existence and blow-up criterion for the Boussinesq equations [J].

Chae, D ;

Nam, HS .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1997, 127 :935-946

[6]

Chan CH, 2007, METHODS APPL ANAL, V14, P197

[7] On the Regularity Criterion of Weak Solution for the 3D Viscous Magneto-Hydrodynamics Equations [J].

Chen, Qionglei ;

Miao, Changxing ;

Zhang, Zhifei .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2008, 284 (03) :919-930

[8]

daVeiga HB, 1995, CHINESE ANN MATH B, V16, P407

[9]

[董柏青 Dong Boqing], 2010, [中国科学：数学, Scientia Sinica Mathematica], V40, P1225

[10]

Fan J, 2001, J MATH FLUID MECH, V13, P557

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