On the convergence of solutions of the Leray-/alpha model to the trajectory attractor of the 3D Navier-Stokes system uri icon

abstract

  • 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+.

published proceedings

  • DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

author list (cited authors)

  • Chepyzhov, V. V., Titi, E. S., & Vishik, M. I.

citation count

  • 43

complete list of authors

  • Chepyzhov, Vladimir V||Titi, Edriss S||Vishik, Mark I

publication date

  • March 2007