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

Article ID	Journal	Published Year	Pages	File Type
1707917	Applied Mathematics Letters	2014	7 Pages	PDF

Abstract

We consider the Cauchy problem for the incompressible Navier–Stokes equations in R3R3, and provide two sufficient conditions to ensure the smoothness of solutions. Both of them only involve two entries of the velocity Hessian tensor.

Keywords

Weak solutions Strong solutions Incompressible Navier?Stokes equations Regularity criterion Global regularity

Related Topics

Physical Sciences and Engineering Engineering Computational Mechanics

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

Authors

Zujin Zhang, Faris Alzahrani, Tasawar Hayat, Yong Zhou,