DOI: 10.1002/mma.71032 ISSN: 0170-4214

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

Fengping Li, Xiaokui Zhao

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.

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