On the convergence of statistical solutions of the 3D Navier-Stokes-α model as α vanishes release_bi57akilefcxtietc2gyu3vcom

by Anne C. Bronzi, Ricardo M. S. Rosa

Released as a article .

(2012)

Abstract

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.
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Type  article
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Date   2012-05-24
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arXiv  1205.5563v1
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