The exponential decay of solutions to the nonstationary magneto‐hydrodynamic equations

Abstract

In this paper, the decay properties for solutions to the 2D incompressible magneto-hydrodynamic (MHD) equations are considered. If the size of the Fourier transform of the initial data near the origin vanishes, by using energy method and theory of the Fourier transform, we establish some exponential decay rates for the 2D nonstationary radially symmetric MHD flows.