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^*

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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.

Original language	English
Article number	126571
Journal	Journal of Mathematical Analysis and Applications
Volume	517
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2022.126571
Publication status	Published - 1 Jan 2022

Keywords

BMHD system
Equilibrium
Partial dissipation
Stability

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10.1016/j.jmaa.2022.126571

Cite this

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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.",

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AU - Mao, Jingjing

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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.

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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

Abstract

Keywords

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