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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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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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 via one directional derivative of the velocity in anisotropic Lebesgue spaces to the 3D Navier-Stokes equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125286 ◽

2021 ◽

pp. 125286

Author(s):

Maria Alessandra Ragusa ◽

Fan Wu

Keyword(s):

Stokes Equations ◽

Directional Derivative ◽

Regularity Criteria ◽

Navier Stokes ◽

Lebesgue Spaces ◽

Navier Stokes Equations

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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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Locally Space-Time Anisotropic Regularity Criteria for the Navier–Stokes Equations in Terms of Two Vorticity Components

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-020-00544-0 ◽

2021 ◽

Vol 23 (2) ◽

Author(s):

Zdenek Skalak

Keyword(s):

Stokes Equations ◽

Space Time ◽

Regularity Criteria ◽

Navier Stokes ◽

Navier Stokes Equations

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On Mixed Pressure-Velocity Regularity Criteria to the Navier-Stokes Equations in Lorentz Spaces

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-021-0242-0 ◽

2021 ◽

Vol 42 (1) ◽

pp. 1-16

Author(s):

Hugo Beirão da Veiga ◽

Jiaqi Yang

Keyword(s):

Stokes Equations ◽

Lorentz Spaces ◽

Regularity Criteria ◽

Navier Stokes ◽

Navier Stokes Equations

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Improvement of several regularity criteria for the Navier–Stokes equations

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2021.103464 ◽

2022 ◽

Vol 65 ◽

pp. 103464

Author(s):

Fan Wu

Keyword(s):

Stokes Equations ◽

Regularity Criteria ◽

Navier Stokes ◽

Navier Stokes Equations

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LOCAL REGULARITY CRITERIA OF THE NAVIER-STOKES EQUATIONS WITH SLIP BOUNDARY CONDITIONS

Journal of the Korean Mathematical Society ◽

10.4134/jkms.j150191 ◽

2016 ◽

Vol 53 (3) ◽

pp. 597-621 ◽

Cited By ~ 1

Author(s):

Hyeong-Ohk Bae ◽

Kyungkeun Kang ◽

Myeonghyeon Kim

Keyword(s):

Boundary Conditions ◽

Stokes Equations ◽

Regularity Criteria ◽

Local Regularity ◽

Navier Stokes ◽

Slip Boundary Conditions ◽

Navier Stokes Equations ◽

Slip Boundary

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$$\varepsilon $$-Regularity criteria for the 3D Navier–Stokes equations in Lorentz spaces

Journal of Evolution Equations ◽

10.1007/s00028-020-00643-5 ◽

2020 ◽

Author(s):

Yanqing Wang ◽

Wei Wei ◽

Huan Yu

Keyword(s):

Stokes Equations ◽

Lorentz Spaces ◽

Regularity Criteria ◽

Navier Stokes ◽

Navier Stokes Equations

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Remarks on regularity criteria for the Navier–Stokes equations via one velocity component

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2013.08.002 ◽

2014 ◽

Vol 15 ◽

pp. 239-245 ◽

Cited By ~ 23

Author(s):

Xuanji Jia ◽

Yong Zhou

Keyword(s):

Velocity Component ◽

Stokes Equations ◽

Regularity Criteria ◽

Navier Stokes ◽

Navier Stokes Equations

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