On the regularity of the solutions to the Navier–Stokes equations via the gradient of one velocity component

Nonlinear Analysis ◽

10.1016/j.na.2014.03.018 ◽

2014 ◽

Vol 104 ◽

pp. 84-89 ◽

Author(s):

Zdeněk Skalák

Keyword(s):

Velocity Component ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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On a regularity criterion for the Navier–Stokes equations involving gradient of one velocity component

Journal of Mathematical Physics ◽

10.1063/1.3268589 ◽

2009 ◽

Vol 50 (12) ◽

pp. 123514 ◽

Author(s):

Yong Zhou ◽

Milan Pokorný

Keyword(s):

Velocity Component ◽

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations

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Regularity condition of the incompressible Navier–Stokes equations in terms of one velocity component

Applied Mathematics Letters ◽

10.1016/j.aml.2019.02.024 ◽

2019 ◽

Vol 94 ◽

pp. 120-125 ◽

Author(s):

Hantaek Bae ◽

Kyungkeun Kang

Keyword(s):

Velocity Component ◽

Regularity Condition ◽

Stokes Equations ◽

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 ◽

Author(s):

Xuanji Jia ◽

Yong Zhou

Keyword(s):

Velocity Component ◽

Stokes Equations ◽

Regularity Criteria ◽

Navier Stokes ◽

Navier Stokes Equations

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A generalized regularity criterion for 3D Navier–Stokes equations in terms of one velocity component

Journal of Differential Equations ◽

10.1016/j.jde.2015.10.037 ◽

2016 ◽

Vol 260 (4) ◽

pp. 3477-3494 ◽

Author(s):

Chenyin Qian

Keyword(s):

Velocity Component ◽

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations

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Remarks on the regularity criterion to the Navier–Stokes equations via the gradient of one velocity component

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2015.11.037 ◽

2016 ◽

Vol 435 (2) ◽

pp. 1623-1633 ◽

Author(s):

Zhuan Ye

Keyword(s):

Velocity Component ◽

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations

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A remark on the regularity criterion for the 3D Navier–Stokes equations involving the gradient of one velocity component

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2014.01.006 ◽

2014 ◽

Vol 414 (1) ◽

pp. 472-479 ◽

Author(s):

Zujin Zhang

Keyword(s):

Velocity Component ◽

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations

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A New Regularity Criterion for the Navier-Stokes Equations in Terms of the Gradient of One Velocity Component

Methods and Applications of Analysis ◽

10.4310/maa.2002.v9.n4.a5 ◽

2002 ◽

Vol 9 (4) ◽

pp. 563-578 ◽

Author(s):

Yong Zhou

Keyword(s):

Velocity Component ◽

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations

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A regularity criterion for the tridimensional Navier–Stokes equations in term of one velocity component

Journal of Differential Equations ◽

10.1016/j.jde.2013.09.002 ◽

2014 ◽

Vol 256 (1) ◽

pp. 283-309 ◽

Author(s):

Xiaoxin Zheng

Keyword(s):

Velocity Component ◽

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations

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The anisotropic regularity criteria for 3D Navier–Stokes equations involving one velocity component

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2020.103094 ◽

2020 ◽

Vol 54 ◽

pp. 103094

Author(s):

Chenyin Qian

Keyword(s):

Velocity Component ◽

Stokes Equations ◽

Regularity Criteria ◽

Navier Stokes ◽

Navier Stokes Equations

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A Serrin-type regularity criterion for the Navier-Stokes equations via one velocity component

Communications on Pure and Applied Analysis ◽

10.3934/cpaa.2013.12.117 ◽

2012 ◽

Vol 12 (1) ◽

pp. 117-124 ◽

Author(s):

Zujin Zhang

Keyword(s):

Velocity Component ◽

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations

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