Document Zbl 1014.35072

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On the regularizing effect of the vorticity direction in incompressible viscous flows. (English) Zbl 1014.35072

Differ. Integral Equ. 15, No. 3, 345-356 (2002).

The paper deals with the global existence in time of strong solutions to the 3D Navier-Stokes equations. When the direction of the vorticity belongs to some suitable Sobolev spaces, then supposing the existence of a weak solution, the existence of a unique smooth solution of the Cauchy problem for the Navier-Stokes equations is proved.

Reviewer: Georg V.Jaiani (Tbilisi)

Cited in 6 Reviews

Cited in 59 Documents

MSC:

35Q30	Navier-Stokes equations
76D03	Existence, uniqueness, and regularity theory for incompressible viscous fluids
35B65	Smoothness and regularity of solutions to PDEs
76D17	Viscous vortex flows

Keywords:

3D Navier-Stokes equations; vorticity direction; incompressible viscous flows

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