On the Stability of the 2D Boussinesq‐MHD Equations in Two Kinds of Strip Domains
Abstract
ABSTRACT In this paper, we investigate the stability of perturbations near the hydrostatic equilibrium of the two‐dimensional incompressible Boussinesq‐MHD equations with zero resistivity. The absence of vertical dissipation of the magnetic field poses significant challenges to stability analysis. The main technique is utilizing anisotropic estimates and the vertical spatial decomposition, and then we can establish the global stability of a certain stationary in two kinds of infinite strip domain: and .
Fields of Study & Subjects
Navier-Stokes equation solutions
Fluid Dynamics and Turbulent Flows
Oceanographic and Atmospheric Processes
Publication details
- Journal / source
- Mathematical Methods in the Applied Sciences
- Volume
- 49
- Issue
- 9
- Pages
- 8884–8908
- Publication date
- 27 January 2026
- Language
- EN