On the convergence of solutions of the Leray-$alpha $ model to the trajectory attractor of the 3D Navier-Stokes system
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We study the relations between the global dynamics of the 3D Leray- model and the 3D Navier-Stokes system. We prove that time shifts of bounded sets of solutions of the Leray- model converges to the trajectory attractor of the 3D Navier-Stokes system as time tends to infinity and a approaches zero. In particular, we show that the trajectory attractor of the Leray-a model converges to the trajectory attractor of the 3D Navier-Stokes system when 0+.
Discrete & Continuous Dynamical Systems - A
author list (cited authors)
V. Chepyzhov, V., S. Titi, E., & I. Vishik, M.
complete list of authors
V. Chepyzhov, Vladimir||S. Titi, E||I. Vishik, Mark