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

被引：93
|
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] .
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页码：1271 / 1279
页数：9
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