The convergence of approximation attractors to attractors for Bingham model with periodical boundary conditions on spatial variables

The work is devoted to the proof of the convergence of trajectory and global attractors of approximation problems to trajectory and global attractors of the Bingham model on the torus. For research, the theory of trajectory attractors of non-invariant trajectory spaces is used. Namely, the existence of attractors for the Bingham model on a torus, and the existence of attractors for the approximation problem is proved. Then it is shown that the attractors of the approximation problems converge to the attractors of the Bingham model in the sense of the Hausdorff semi-distance in corresponding metric spaces. © 2021 Author(s).