On regularity criteria for the Navier–Stokes equations based on one directional derivative of the velocity or one diagonal entry of the velocity gradient

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-020-01442-1 ◽

2021 ◽

Vol 72 (1) ◽

Author(s):

Zujin Zhang ◽

Yali Zhang

Keyword(s):

Velocity Gradient ◽

Stokes Equations ◽

Directional Derivative ◽

Diagonal Entry ◽

Regularity Criteria ◽

Navier Stokes ◽

Navier Stokes Equations

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On the regularity criterion for the Navier–Stokes equations involving the diagonal entry of the velocity gradient

Nonlinear Analysis ◽

10.1016/j.na.2015.04.005 ◽

2015 ◽

Vol 122 ◽

pp. 169-175 ◽

Author(s):

Zujin Zhang ◽

Xian Yang

Keyword(s):

Velocity Gradient ◽

Stokes Equations ◽

Regularity Criterion ◽

Diagonal Entry ◽

Navier Stokes ◽

Navier Stokes Equations

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A regularity criterion for the Navier–Stokes equations via one diagonal entry of the velocity gradient

Communications in Mathematical Sciences ◽

10.4310/cms.2021.v19.n4.a10 ◽

2021 ◽

Vol 19 (4) ◽

pp. 1101-1112

Author(s):

Zdeněk Skalák

Keyword(s):

Velocity Gradient ◽

Stokes Equations ◽

Regularity Criterion ◽

Diagonal Entry ◽

Navier Stokes ◽

Navier Stokes Equations

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Two regularity criteria for the Navier-Stokes equations with damping in terms of one directional derivative of the velocity field

Nonlinear Analysis and Differential Equations ◽

10.12988/nade.2016.6425 ◽

2016 ◽

Vol 4 ◽

pp. 315-325

Author(s):

Jianlin Zhang

Keyword(s):

Velocity Field ◽

Stokes Equations ◽

Directional Derivative ◽

Regularity Criteria ◽

Navier Stokes ◽

Navier Stokes Equations

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Regularity criteria for the Navier–Stokes equations based on one or two items of the velocity gradient

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2017.04.011 ◽

2017 ◽

Vol 38 ◽

pp. 131-145 ◽

Author(s):

Zdeněk Skalák

Keyword(s):

Velocity Gradient ◽

Stokes Equations ◽

Regularity Criteria ◽

Navier Stokes ◽

Navier Stokes Equations

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Critical regularity criteria for Navier–Stokes equations in terms of one directional derivative of the velocity

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7097 ◽

2020 ◽

Author(s):

Hui Chen ◽

Daoyuan Fang ◽

Ting Zhang

Keyword(s):

Stokes Equations ◽

Directional Derivative ◽

Regularity Criteria ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Critical Regularity

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A short note on regularity criteria for the Navier–Stokes equations containing the velocity gradient

10.4064/bc70-0-13 ◽

2005 ◽

Author(s):

Milan Pokorný

Keyword(s):

Velocity Gradient ◽

Stokes Equations ◽

Regularity Criteria ◽

Navier Stokes ◽

Navier Stokes Equations

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Some new regularity criteria for the Navier–Stokes equations in terms of one directional derivative of the velocity field

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2021.103379 ◽

2021 ◽

Vol 62 ◽

pp. 103379

Author(s):

N.V. Giang ◽

D.Q. Khai

Keyword(s):

Velocity Field ◽

Stokes Equations ◽

Directional Derivative ◽

Regularity Criteria ◽

Navier Stokes ◽

Navier Stokes Equations

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Regularity Criteria of The Incompressible Navier-Stokes Equations via Only One Entry of Velocity Gradient

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-019-0441-6 ◽

2019 ◽

Vol 21 (3) ◽

Author(s):

Zhengguang Guo ◽

Yafei Li ◽

Zdenĕk Skalák

Keyword(s):

Velocity Gradient ◽

Stokes Equations ◽

Regularity Criteria ◽

Navier Stokes ◽

Navier Stokes Equations

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Two New Regularity Criteria for the 3D Navier-Stokes Equations via Two Entries of the Velocity Gradient Tensor

Acta Applicandae Mathematicae ◽

10.1007/s10440-012-9712-4 ◽

2012 ◽

Vol 123 (1) ◽

pp. 43-52 ◽

Author(s):

Zujin Zhang ◽

Zheng-an Yao ◽

Peng Li ◽

Congchong Guo ◽

Ming Lu

Keyword(s):

Velocity Gradient ◽

Stokes Equations ◽

Regularity Criteria ◽

Navier Stokes ◽

Gradient Tensor ◽

Navier Stokes Equations ◽

Velocity Gradient Tensor

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

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.04.049 ◽

2017 ◽

Vol 453 (2) ◽

pp. 1145-1150 ◽

Author(s):

Zujin Zhang ◽

Dingxing Zhong ◽

Xiantong Huang

Keyword(s):

Velocity Gradient ◽

Stokes Equations ◽

Regularity Criterion ◽

Diagonal Entry ◽

Navier Stokes ◽

Navier Stokes Equations

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