On the convergence of statistical solutions of the 3D Navier-Stokes-$α$ model as $α$ vanishes

In this paper statistical solutions of the 3D Navier-Stokes-$α$ model with periodic boundary condition are considered. It is proved that under certain natural conditions statistical solutions of the 3D Navier-Stokes-$α$ model converge to statistical solutions of the exact 3D Navier-Stokes equations as $α$ goes to zero. The statistical solutions considered here arise as families of time-projections of measures in suitable trajectory spaces.

No reviews yet.

No comments yet.