On the convergence of the uniform attractor for the 2D Leray-\(\alpha\) model (Q1667544)

Summary: We consider a nonautonomous 2D Leray-\(\alpha\) model of fluid turbulence. We prove the existence of the uniform attractor \(\mathcal{A}^\alpha\). We also study the convergence of \(\mathcal{A}^\alpha\) as \(\alpha\) goes to zero. More precisely, we prove that the uniform attractor \(\mathcal{A}^\alpha\) converges to the uniform attractor of the 2D Navier-Stokes system as \(\alpha\) tends to zero.