A Generalization of Some Regularity Criteria to the Navier–Stokes Equations Involving One Velocity Component

Recent Developments of Mathematical Fluid Mechanics - Advances in Mathematical Fluid Mechanics ◽

10.1007/978-3-0348-0939-9_5 ◽

2016 ◽

pp. 79-97

Author(s):

Šimon Axmann ◽

Milan Pokorný

Keyword(s):

Velocity Component ◽

Stokes Equations ◽

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 ◽

Author(s):

Xuanji Jia ◽

Yong Zhou

Keyword(s):

Velocity Component ◽

Stokes Equations ◽

Regularity Criteria ◽

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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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 ◽

Regularity Criteria ◽

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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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 ◽

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 ◽

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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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$$\varepsilon $$-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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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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