A refined regularity criterion for the Navier–Stokes equations involving one non-diagonal entry of the velocity gradient

This paper concerns about the regularity criteria for the three-dimensional Navier–Stokes equations. By establishing a more subtle estimate of the crucial convective term in Navier–Stokes equations, we improve [4] and [10] a lot.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2017-09, Vol.453 (2), p.1145-1150
Main Authors: Zhang, Zujin, Zhong, Dingxing, Huang, Xiantong
Format: Article
Language:English
Subjects:
Navier–Stokes equations
Regularity criteria
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Summary:This paper concerns about the regularity criteria for the three-dimensional Navier–Stokes equations. By establishing a more subtle estimate of the crucial convective term in Navier–Stokes equations, we improve [4] and [10] a lot.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2017.04.049