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

Zujin Zhang; Faris Alzahrani; Tasawar Hayat; Yong Zhou

doi:10.1016/j.aml.2014.06.011

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

Zujin Zhang
, Faris Alzahrani
, Tasawar Hayat
, Yong Zhou

Gannan Normal University
King Abdulaziz University
Quaid-I-Azam University
Shanghai University of Finance and Economics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We consider the Cauchy problem for the incompressible Navier-Stokes equations in R³, and provide two sufficient conditions to ensure the smoothness of solutions. Both of them only involve two entries of the velocity Hessian tensor.

Original language	English
Pages (from-to)	124-130
Number of pages	7
Journal	Applied Mathematics Letters
Volume	37
DOIs	https://doi.org/10.1016/j.aml.2014.06.011
State	Published - Nov 2014
Externally published	Yes

Keywords

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

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10.1016/j.aml.2014.06.011

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

abstract = "We consider the Cauchy problem for the incompressible Navier-Stokes equations in R3, and provide two sufficient conditions to ensure the smoothness of solutions. Both of them only involve two entries of the velocity Hessian tensor.",

keywords = "Global regularity, Incompressible Navier-Stokes equations, Regularity criterion, Strong solutions, Weak solutions",

author = "Zujin Zhang and Faris Alzahrani and Tasawar Hayat and Yong Zhou",

year = "2014",

month = nov,

doi = "10.1016/j.aml.2014.06.011",

language = "English",

volume = "37",

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journal = "Applied Mathematics Letters",

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T1 - Two new regularity criteria for the Navier-Stokes equations via two entries of the velocity Hessian tensor

AU - Zhang, Zujin

AU - Alzahrani, Faris

AU - Hayat, Tasawar

AU - Zhou, Yong

PY - 2014/11

Y1 - 2014/11

N2 - We consider the Cauchy problem for the incompressible Navier-Stokes equations in R3, and provide two sufficient conditions to ensure the smoothness of solutions. Both of them only involve two entries of the velocity Hessian tensor.

AB - We consider the Cauchy problem for the incompressible Navier-Stokes equations in R3, and provide two sufficient conditions to ensure the smoothness of solutions. Both of them only involve two entries of the velocity Hessian tensor.

KW - Global regularity

KW - Incompressible Navier-Stokes equations

KW - Regularity criterion

KW - Strong solutions

KW - Weak solutions

UR - https://www.scopus.com/pages/publications/84903830847

U2 - 10.1016/j.aml.2014.06.011

DO - 10.1016/j.aml.2014.06.011

M3 - Article

AN - SCOPUS:84903830847

SN - 0893-9659

VL - 37

SP - 124

EP - 130

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

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

Abstract

Keywords

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