A regularity criterion for the Navier-Stokes equations via two entries of the velocity Hessian tensor

Details A regularity criterion for the Navier-Stokes equations via two entries of the velocity Hessian tensor A regularity criterion for the Navier-Stokes equations via two entries of the velocity Hessian tensor

2011-03-07

arxiv.org/abs/1103.1196v1

Mathematics

Analysis of PDEs

14 pages

Scientific paper

We consider the Cauchy problem for the incompressible Navier-Stokes equations
in $\R^3$, and provide a sufficient condition to ensure the smoothness of the
solution. It involves only two entries of the velocity Hessian.

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