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

الملخص EN

We consider the uniform attractors for the two dimensional nonautonomous g-Navier-Stokes equations in bounded domain Ω.

Assuming f=f(x,t)∈Lloc2, we establish the existence of the uniform attractor in L2(Ω) and D(A1/2).

The fractal dimension is estimated for the kernel sections of the uniform attractors obtained.