  A toroidal, quasi-linear model is proposed to study the penetration dynamics
of the resonant magnetic perturbation (RMP) field into the plasma. The model
couples the linear, fluid plasma response to a toroidal momentum balance
equation, which includes torques induced by both fluid electromagnetic force
and by (kinetic) neoclassical toroidal viscous force. The numerical results for
a test toroidal equilibrium quantify the effects of various physical parameters
on the field penetration and on the plasma rotation braking. The neoclassical
toroidal viscous torque plays a dominant role in certain region of the plasma,
for the RMP penetration problem considered in this work.
