GLOBAL WELL-POSEDNESS OF THE 3D GENERALIZED BOUSSINESQ EQUATIONS

被引：0
|
作者：
Xu, Bo [1 ]
Zhou, Jiang [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2024年 / 29卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Generalized Boussinesq equations; damping; mild solutions; global well-posedness; MILD SOLUTIONS;
D O I：
10.3934/dcdsb.2024067
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the 3D generalized incompressible Boussinesq equations in chi 1-2 alpha . However, the main difficulty lies in how to handle the terms (u u <middle dot> del) 8 and 8e3. e 3 . This paper overcomes this challenge in two ways, making it possible to study the global well-posedness. One is to eliminate the term 8e3 e 3 by adding general time -dependent viscosity coefficients, and the other is to introduce a damping term to make the thermal decay faster.
引用
收藏
页码：4821 / 4829
页数：9
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