Stability of Solutions for a Series of 2D Incompressible MHD Equations With Mixed Partial Dissipation (II)

ABSTRACT To understand that a background magnetic field can smooth and stabilize the electrically conducting turbulent fluids, we focus on some 2D magnetohydrodynamic (MHD) systems with partial dissipation near a background magnetic field in the periodic domain or . This paper shows the stabilization effect of the background magnetic field and the exponential decay of solutions by energy estimate and Poincáre's inequality.