GLOBAL SOLUTION OF 3D MHD-BOUSSINESQ SYSTEM WITH MIXED PARTIAL DISSIPATION AND THERMAL DAMPING

被引：0
作者：
Lu, Zhengyan [1 ]
Du, Linglong [1 ,2 ]
Sun, Chunyou [1 ]
机构：
[1] Donghua Univ, Sch Math & Stat, Shanghai, Peoples R China
[2] Donghua Univ, Inst Nonlinear Sci, Shanghai, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2025年 / 30卷 / 03期
基金：
上海市自然科学基金;
关键词：
MHD-Boussinesq system with thermal damping; mixed partial dissipation; classical solution; global stability; large time behavior; BACKGROUND MAGNETIC-FIELD; LARGE-TIME BEHAVIOR; WELL-POSEDNESS; EQUATIONS; EXISTENCE; STABILITY; DECAY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the initial value problem for the three-dimensional MHD-Boussinesq system with mixed partial dissipation and thermal damping. This system characterizes the dynamics of velocity, magnetic field and temperature perturbations near hydrostatic equilibrium. By exploiting the special structure of this system, we use "double energy" to establish two desired energy inequalities. Then, we employ the bootstrapping argument to obtain the global stability and the large time behavior of the classical solution.
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页码：1029 / 1049
页数：21
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