Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 4312-4342 |
| Number of pages | 31 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 45 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 30 May 2022 |
Keywords
- Boussinesq-MHD system
- hydrostatic equilibrium
- partial dissipation
- stability