The finite-dimensional uniform attractors for the nonautonomous \(g\)-Navier-Stokes equations (Q1034022)

Summary: We consider the uniform attractors for the two dimensional nonautonomous g-Navier-Stokes equations in bounded domain \(\Omega\). Assuming \(f=f(x,t)\in L_{\text{loc}}^{2}\), we establish the existence of the uniform attractor in \(L^{2}(\Omega )\) and \(D(A^{1/2})\). The fractal dimension is estimated for the kernel sections of the uniform attractors obtained.