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Two new regularity criteria for the Navier-Stokes equations via two entries of the velocity Hessian tensor
Journal article   Peer reviewed

Two new regularity criteria for the Navier-Stokes equations via two entries of the velocity Hessian tensor

Zujin Zhang, Faris Alzahrani, Tasawar Hayat and Yong Zhou
Applied mathematics letters, Vol.37, pp.124-130
01/11/2014
DOI: https://doi.org/10.1016/j.aml.2014.06.011

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We consider the Cauchy problem for the incompressible Navier-Stokes equations in R-3, and provide two sufficient conditions to ensure the smoothness of solutions. Both of them only involve two entries of the velocity Hessian tensor. (C) 2014 Elsevier Ltd. All rights reserved.

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