We improve results in reference [6] concerning the effect of the direction of the vorticity on the regularity of weak solutions to the 3D Navier–Stokes equations. In particular, we prove that, if the direction of the vorticity belongs to suitable Sobolev spaces, then there exists a unique smooth solution of the Cauchy problem for the Navier–Stokes equations.
On the regularizing effect of the vorticity direction in incompressible viscous flows
BERSELLI, LUIGI CARLO;BEIRAO DA VEIGA, HUGO
2002-01-01
Abstract
We improve results in reference [6] concerning the effect of the direction of the vorticity on the regularity of weak solutions to the 3D Navier–Stokes equations. In particular, we prove that, if the direction of the vorticity belongs to suitable Sobolev spaces, then there exists a unique smooth solution of the Cauchy problem for the Navier–Stokes equations.File in questo prodotto:
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