BEALE-KATO-MAJDA TYPE CRITERION OF SMOOTH SOLUTIONS FOR THE THREE DIMENSIONAL BOUSSINESQ EQUATIONS VIA PARTIAL HORIZONTAL DERIVATIVES OF TWO VELOCITY COMPONENTS

被引：0
|
作者：
Ben Omrane, Ines [1 ]
机构：
[1] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, POB 90950, Riyadh 11623, Saudi Arabia
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2024年
关键词：
Boussinesq equations; blow-up criterion; Sobolev and Besov spaces; smooth solution; variational and interpolation inequalities; BLOW-UP CRITERION; IMPROVED REGULARITY CRITERION; LOCAL EXISTENCE; BESOV-SPACES;
D O I：
10.3934/dcdss.2024015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish a blow-up criterion for the local smooth solutions to the three-dimensional incompressible Boussinesq equations in the framework of Besov spaces B0 infinity,infinity via partial horizontal derivatives of two velocity components partial differential 1u1 and partial differential 2u2. Our result can be regarded as the borderline case of the work by F. Wu (Bull. Braz. Math. Soc., New Series (52) 2021, 267-279).
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页数：9
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