Dynamical behaviour of non-autonomous 2D Navier-Stokes equations with singularly oscillating external force.

The purpose of this article is to analyse the dynamical behaviour of solutions of the non-autonomous 2D Navier-Stokes equations with singularly oscillating external force of the form: [image omitted] [image omitted]. First, we prove the existence of uniform attractor [image omitted] in [image omitted] for equations with external force non-translation compact. Then we prove that if the function g1(z, t) satisfies the Divergence condition (Definition 3.1), then the uniform attractor [image omitted] is convergent to uniform attractor [image omitted] of the averaged equations in the sense of Hausdorff distance in L2(Ω). [ABSTRACT FROM AUTHOR]