Stability of the 3D Incompressible MHD‐Boussinesq System With Partial Dissipation

ABSTRACT This paper considers the stability of the 3D incompressible MHD‐Boussinesq system with mixed dissipation in . The main purpose of this paper is to prove the global stability of perturbations near the hydrostatic equilibrium for the 3D incompressible MHD‐Boussinesq system with mixed dissipation and damping. By using the energy methods, we obtain that this system possesses a global solution for initial data in .