Existence of Attractors for Approximations to the Bingham Model and Their Convergence to the Attractors of the Initial Model

Considering the Bingham fluid motion model, we study the approximation problem, prove its unique solvability, and the existence of attractors. We show that the attractors of the approximation problem converge to the attractors of the Bingham model in the sense of the Hausdorff semidistance in the corresponding metric space as the approximation parameter vanishes.