The Finite-Dimensional Uniform Attractors for the Nonautonomous g-Navier-Stokes Equations

We consider the uniform attractors for the two dimensional nonautonomous g-Navier-Stokes equations in bounded domain Ω. Assuming =(,)∈2loc, we establish the existence of the uniform attractor in 2(Ω) and (1/2). The fractal dimension is estimated for the kernel sections of the uniform attractors obtained