We study the behavior at infinity, with respect to the space variable, of
solutions to the magnetohydrodynamics equations in Rd. We prove that
if the initial magnetic field decays sufficiently fast, then the plasma flow
behaves as a solution of the free nonstationnary Navier--Stokes equations when
∣x∣→+∞, and that the magnetic field will govern the decay of the
plasma, if it is poorly localized at the beginning of the evolution. Our main
tools are boundedness criteria for convolution operators in weighted spaces.Comment: Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
(to appear) (0000) --xx-