Dimensions of attractors for discretizations for Navier-Stokes equations (Q1188335)

The author discretizes the Navier-Stokes equations for two-dimensional incompressible flows with periodic boundary conditions by finite differences and proves the existence of global solutions. He then proceeds to prove the existence of the global attractors of the discretized system and estimates the upper bounds for the Hausdorff and the fractal dimensions of the attractors. It is shown, that the bounds are independent of the mesh size. The paper is rich of details of the problem indicated in the title.