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arXiv · 1103.1196

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

Zujin Zhang
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Abstract

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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Zujin Zhang. 2011-03-07. A regularity criterion for the Navier-Stokes equations via two entries of the velocity Hessian tensor. https://doi.org/10.1016/j.aml.2014.06.011

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