On the convergence of statistical solutions of the 3D Navier-Stokes-$\alpha$ model as $\alpha$ vanishes
2013
In this paper statistical solutions of the 3D Navier-Stokes-$\alpha$ model with
periodic boundary condition are considered. It is proved that under certain
natural conditions statistical solutions of the 3D Navier-Stokes-$\alpha$ model
converge to statistical solutions of the exact 3D Navier-Stokes equations as
$\alpha$ goes to zero. The statistical solutions considered here arise as
families of time-projections of measures on suitable trajectory spaces.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
50
References
6
Citations
NaN
KQI