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We consider the asymptotic behaviour of nonautonomous 2D g-Navier-Stokes equations in bounded domain Ω. Assuming that f∈Lloc2, which is translation bounded, the existence of the pullback attractor isproved in L2(Ω) and H1(Ω). It is proved that the fractal dimension of thepullback attractor is finite

On the Dimension of the Pullback Attractors for g-Navier-Stokes Equations