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.
Citation
Hugo Beirão da Veiga. Luigi C. Berselli. "On the regularizing effect of the vorticity direction in incompressible viscous flows." Differential Integral Equations 15 (3) 345 - 356, 2002. https://doi.org/10.57262/die/1356060864
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