The uniform attractor for the 2D non-autonomous Navier–Stokes flow in some unbounded domain Original Research Article

By using the energy equation method, the existence of the uniform attractor for the 2D non-autonomous Navier–Stokes equations in some unbounded domains with usual settings is obtained without the restriction of the forcing term belonging to some weighted Sobolev space. And for the quasi-periodic forcing term, the estimation of the Hausdorff dimension of such attractors is also obtained.