  We regularized the 3D Navier-Stokes equations by adding a fourth-order
viscosity term. We study the upper semicontinuity, of the global attractors of
the Leray-Hopf weak solutions of the regularized 3D Navier-Stokes equations, as
the artificial dissipation goes to 0. We also consider applications of obtained
results to the regularized problem by allowing the family of forcing functions
to vary with epsilon, for epsilon >0.
