The global attractor of g-Navier-Stokes equations with linear dampness on R2

In this paper, the long time behaviors of g-Navier-Stokes equations with linear dampness on R2 were investigated. By using the energy equation method, the existence of the global attractor for the equations was proved without the restriction of the forcing term belonging to some weighted Sobolev space. Moreover, the estimation of the Hausdorff and Fractal dimensions of such attractors were also obtained.