Differential and Integral Equations
- Differential Integral Equations
- Volume 15, Number 3 (2002), 345-356.
On the regularizing effect of the vorticity direction in incompressible viscous flows
We improve results in reference  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.
Differential Integral Equations, Volume 15, Number 3 (2002), 345-356.
First available in Project Euclid: 21 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35Q30: Navier-Stokes equations [See also 76D05, 76D07, 76N10]
Secondary: 35B65: Smoothness and regularity of solutions 35Q35: PDEs in connection with fluid mechanics 76D03: Existence, uniqueness, and regularity theory [See also 35Q30] 76D05: Navier-Stokes equations [See also 35Q30]
Beirão da Veiga, Hugo; Berselli, Luigi C. On the regularizing effect of the vorticity direction in incompressible viscous flows. Differential Integral Equations 15 (2002), no. 3, 345--356. https://projecteuclid.org/euclid.die/1356060864