The stabilizing effect of temperature and magnetic field on a 2D magnetic Bénard fluids

被引:1
|
作者
Lai, Suhua [1 ,2 ]
Shen, Linxuan [3 ]
Ye, Xia [1 ,2 ]
Zhao, Xiaokui [4 ]
机构
[1] Jiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Peoples R China
[2] Jiangxi Normal Univ, Jiangxi Prov Ctr Appl Math, Nanchang 330022, Jiangxi, Peoples R China
[3] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
[4] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China
基金
中国博士后科学基金; 中国国家自然科学基金;
关键词
2D magnetic B & eacute; nard fluids; Equilibrium; Partial dissipation; Stability; THERMAL-CONVECTION; VORTICITY GRADIENT; BENARD-PROBLEM; NONLINEAR STABILITY; EXPONENTIAL-GROWTH; GLOBAL REGULARITY; EULER; INHIBITION; EQUATIONS; SYSTEM;
D O I
10.1016/j.jde.2024.08.041
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we study the stability of a special magnetic B & eacute;nard system near equilibrium, where there exists Laplacian magnetic diffusion and temperature damping but the velocity equation involves no dissipation. Without any velocity dissipation, the fluid velocity is governed by the two-dimensional incompressible Euler equation, whose solution can grow rapidly in time. However, when the fluid is coupled with the magnetic field and temperature through the magnetic B & eacute;nard system, we show that the solution is stable. Our results mathematically illustrate that the magnetic field and temperature have the effect of enhancing dissipation and contribute to stabilize the fluid. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
引用
收藏
页码:851 / 880
页数:30
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