A Regularity Criterion in Weak Spaces to Boussinesq Equations

被引：70

作者：

Agarwal, Ravi P. ^{[1
]}

Gala, Sadek ^{[2
,3
]}

Ragusa, Maria Alessandra ^{[3
,4
]}

机构：

[1] Texas A&M Univ Kingsville, Dept Math, Kingsville, TX 78363 USA

[2] Univ Mostaganem, Ecole Normale Super Mostaganem, POB 270, Mostaganem 27000, Algeria

[3] Univ Catania, Dipartimento Matemat & Informat, Viale Andrea Doria 6, I-95125 Catania, Italy

[4] RUDN Univ, 6 Miklukho,Maklay St, Moscow 117198, Russia

来源：

MATHEMATICS | 2020年 / 8卷 / 06期

关键词：

Regularity results; Cauchy problem; Boussinesq equations; Lorentz spaces; Navier-Stokes equations; MHD equations; weak solutions; NAVIER-STOKES EQUATIONS; BLOW-UP CRITERION; ONE-COMPONENT REGULARITY; SMOOTH SOLUTIONS; LOCAL EXISTENCE; GRADIENT; TERMS;

D O I：

10.3390/math8060920

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the regularity of weak solutions to the incompressible Boussinesq equations in R-3 x (0,T). The main goal is to establish the regularity criterion in terms of one velocity component and the gradient of temperature in Lorentz spaces.

引用

页数：11

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