New Regularity Criteria Based on Pressure or Gradient of Velocity in Lorentz Spaces for the 3D Navier–Stokes Equations

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-019-0476-8 ◽

2020 ◽

Vol 22 (1) ◽

Author(s):

Xiang Ji ◽

Yanqing Wang ◽

Wei Wei

Keyword(s):

Stokes Equations ◽

Lorentz Spaces ◽

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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$$\varepsilon $$-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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Logarithmically improved regularity criteria for the Navier–Stokes equations in Lorentz spaces

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.03.061 ◽

2012 ◽

Vol 218 (19) ◽

pp. 9848-9852

Author(s):

Zhiqiang Wei ◽

Yu-Zhu Wang ◽

Yin-Xia Wang

Keyword(s):

Stokes Equations ◽

Lorentz Spaces ◽

Regularity Criteria ◽

Navier Stokes ◽

Navier Stokes Equations

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Regularity Criteria of Weak Solutions in terms of the Pressure in Lorentz Spaces to the Navier–Stokes Equations

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-012-0098-x ◽

2012 ◽

Vol 14 (4) ◽

pp. 653-660 ◽

Author(s):

Tomoyuki Suzuki

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Lorentz Spaces ◽

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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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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Local Boundary Regularity for the Navier–Stokes Equations in Non-Endpoint Borderline Lorentz Spaces

Journal of Mathematical Sciences ◽

10.1007/s10958-017-3424-2 ◽

2017 ◽

Vol 224 (3) ◽

pp. 391-413 ◽

Author(s):

T. Barker

Keyword(s):

Stokes Equations ◽

Boundary Regularity ◽

Lorentz Spaces ◽

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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New $$\varepsilon $$-Regularity Criteria of Suitable Weak Solutions of the 3D Navier–Stokes Equations at One Scale

Journal of Nonlinear Science ◽

10.1007/s00332-019-09555-2 ◽

2019 ◽

Vol 29 (6) ◽

pp. 2681-2698 ◽

Author(s):

Cheng He ◽

Yanqing Wang ◽

Daoguo Zhou

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Regularity Criteria ◽

Navier Stokes ◽

Suitable Weak Solutions ◽

Navier Stokes Equations

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