Stability and large time behavior for the 2D BMHD system with partial dissipation and thermal damping

Dongfen Bian; Jingjing Mao

doi:10.1016/j.jmaa.2022.126571

Stability and large time behavior for the 2D BMHD system with partial dissipation and thermal damping

Dongfen Bian, Jingjing Mao^*

^*此作品的通讯作者

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

7 引用（Scopus）

摘要

This paper focuses on the Boussinesq equations with magnetohydrodynamics convection in which the temperature obeys degenerate damped wave equations. Under the influence of an equilibrium, we prove that the 2D BMHD system remains stable in the whole space R². In addition, we obtain the nonlinear large-time behavior and the linear decay rate.

源语言	英语
文章编号	126571
期刊	Journal of Mathematical Analysis and Applications
卷	517
期	1
DOI	https://doi.org/10.1016/j.jmaa.2022.126571
出版状态	已出版 - 1 1月 2022

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Bian, D., & Mao, J. (2022). Stability and large time behavior for the 2D BMHD system with partial dissipation and thermal damping. Journal of Mathematical Analysis and Applications, 517(1), 文章 126571. https://doi.org/10.1016/j.jmaa.2022.126571

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abstract = "This paper focuses on the Boussinesq equations with magnetohydrodynamics convection in which the temperature obeys degenerate damped wave equations. Under the influence of an equilibrium, we prove that the 2D BMHD system remains stable in the whole space R2. In addition, we obtain the nonlinear large-time behavior and the linear decay rate.",

keywords = "BMHD system, Equilibrium, Partial dissipation, Stability",

author = "Dongfen Bian and Jingjing Mao",

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AU - Bian, Dongfen

AU - Mao, Jingjing

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N2 - This paper focuses on the Boussinesq equations with magnetohydrodynamics convection in which the temperature obeys degenerate damped wave equations. Under the influence of an equilibrium, we prove that the 2D BMHD system remains stable in the whole space R2. In addition, we obtain the nonlinear large-time behavior and the linear decay rate.

AB - This paper focuses on the Boussinesq equations with magnetohydrodynamics convection in which the temperature obeys degenerate damped wave equations. Under the influence of an equilibrium, we prove that the 2D BMHD system remains stable in the whole space R2. In addition, we obtain the nonlinear large-time behavior and the linear decay rate.

KW - BMHD system

KW - Equilibrium

KW - Partial dissipation

KW - Stability

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Stability and large time behavior for the 2D BMHD system with partial dissipation and thermal damping

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