  We consider the long time behavior of solutions to the magnetohydrodynamics
equations in two and three spatial dimensions. It is shown that in the absence
of magnetic diffusion, if strong bounded solutions were to exist their energy
cannot present any asymptotic oscillatory behavior, the diffusivity of the
velocity is enough to prevent such oscillations. When magnetic diffusion is
present and the data is only in L^2, it is shown that the solutions decay to
zero without a rate, and this nonuniform decay is optimal.
