We show that if velocity and vorticity are orthogonal at each point (and they become orthogonal fast enough) then solutions of the 3D Navier-Stokes equations are smooth. This condition implies that the helicity is identically zero and, in a certain sense, the flow resembles the 2D geometric situation.
On the regularity of the solutions to the 3D Navier-Stokes equations: a remark on the role of the helicity
BERSELLI, LUIGI CARLO;
2009-01-01
Abstract
We show that if velocity and vorticity are orthogonal at each point (and they become orthogonal fast enough) then solutions of the 3D Navier-Stokes equations are smooth. This condition implies that the helicity is identically zero and, in a certain sense, the flow resembles the 2D geometric situation.File in questo prodotto:
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