We present the first measurements of the viscosity of superfluid He-3
in magnetic fields up to 15 T, at temperatures down to 2 mK along the
melting curve, using an assumption for the temperature dependence of t
he normal density. At fields higher than 4 T, the viscosity shows a mi
nimum in the A(1) phase, and reaches a local maximum at the A(2) trans
ition which becomes global at 14.6 T. The sharp decrease just below th
e A(1) transition can be understood within the Ginzburg-Landau framewo
rk and is consistent with both theory and experiments in lower fields.
At temperatures below the minimum, the viscosity in the A(1) phase is
dominated by a term with T-2 dependence. Additionally, we have calcul
ated the temperature dependence of the viscosity tensor in the low tem
perature Limit using the method of temperature asymptotes.