摘要
In this paper, we establish the nonlinear stability and large time behavior of hydrostatic equilibrium in a uniform magnetic field for the 2D Boussinesq system with magnetohydrodynamics convection on spatial domain (Formula presented.) with partial dissipation. This is the important part of further work about the stability/instability of shear flow which is the combination of hydrostatic equilibrium and Couette/shear flow in a uniform magnetic field with partial dissipation.
| 源语言 | 英语 |
|---|---|
| 页（从-至） | 4312-4342 |
| 页数 | 31 |
| 期刊 | Mathematical Methods in the Applied Sciences |
| 卷 | 45 |
| 期 | 8 |
| DOI | |
| 出版状态 | 已出版 - 30 5月 2022 |