We review some results concerning the problem of global-in-time regularity for the initial boundary value problem for the Navier-Stokes equations in three-dimensional domains. In particular, we focus on sufficient conditions on the vorticity field which imply that strong (hence smooth) solutions exist on arbitrary time intervals.
Some criteria concerning the vorticity and the problem of global regularity for the 3D Navier-Stokes equations
BERSELLI, LUIGI CARLO
2009-01-01
Abstract
We review some results concerning the problem of global-in-time regularity for the initial boundary value problem for the Navier-Stokes equations in three-dimensional domains. In particular, we focus on sufficient conditions on the vorticity field which imply that strong (hence smooth) solutions exist on arbitrary time intervals.File in questo prodotto:
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