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

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