GLOBAL REGULARITY FOR THE 2D NON-DIFFUSIVE ANISOTROPIC CRITICAL DISSIPATION

被引：0
|
作者：
Wu, Jingbo [1 ,2 ]
Dong, Bo-Qing [2 ]
Ye, Zhuan [3 ]
机构：
[1] Shenzhen Univ, Coll Phys & Optoelect Engn, Shenzhen 518060, Peoples R China
[2] Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China
[3] Jiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2024年 / 17卷 / 03期
关键词：
global regularity; fractional dissipation; Boussinesq equations; BOUSSINESQ EQUATIONS; WELL-POSEDNESS; EULER;
D O I：
10.3934/dcdss.2023134
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
. This paper is concerned with the global regularity of the twodimensional generalized Boussinesq equations. When the dissipation mechanism is only fractional vertical dissipation in the horizontal velocity and horizontal dissipation in the vertical velocity, it is examined that the system has a unique global smooth solution. The finding not only settles a problem remarked in (J. Differential Equations 268: 910-944, 2020), but also relaxes the restriction on the initial data.
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页码：1133 / 1145
页数：13
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