Asymptotic regularity for the generalized MHD-Boussinesq equations

被引：1
|
作者：
Liu, Hui [1 ]
Gao, Hongjun [2 ,3 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu, Peoples R China
[2] Southeast Univ, Sch Math, Nanjing, Peoples R China
[3] Southeast Univ, Sch Math, Nanjing 211189, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 09期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
MHD-Boussinesq equations; regularity; strong solution; well-posedness; WELL-POSEDNESS; WEAK SOLUTIONS; SYSTEM; CRITERION;
D O I：
10.1002/mma.9169
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The three-dimensional generalized MHD-Boussinesq equations are studied in this paper. Well-posedness of the strong solutions for the 3D generalized MHD-Boussinesq equations is proved. Asymptotic regularity for the 3D generalized MHD-Boussinesq equations is proved in H-9/2 x H-9/2 x H-9/2, and furthermore, higher regularity for the 3D generalized MHD-Boussinesq equations is proved in H-a x H-a x H-a for a >= 9/2.
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页码：11080 / 11098
页数：19
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