Abstract
In this paper, we investigate the three-dimensional axisymmetric incompressible magnetohydrodynamics (MHD) system. Under the slip boundary conditions for both the velocity and the magnetic field, we prove that the MHD system has a unique global solution in the exterior of a cylinder Π={x=(x1,x2,x3)∈R3||xh|>1,xh=(x1,x2)} under initial axisymmetric data.
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