On the localization of the magnetic and the velocity elds in the equations of magnetohydrodynamics
نویسندگان
چکیده
We study the behavior at in nity, with respect to the space variable, of solutions to the magnetohydrodynamics equations in Rd. We prove that if the initial magnetic eld decays su ciently fast, then the plasma ow behaves as a solution of the free nonstationnary Navier Stokes equations when |x| → +∞, and that the magnetic eld 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.
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