Limiting case for the regularity criterion of the Navier-Stokes equations and the magnetohydrodynamic equations

Science China Mathematics ◽

10.1007/s11425-010-3135-3 ◽

2010 ◽

Vol 53 (7) ◽

pp. 1767-1774 ◽

Author(s):

Cheng He ◽

Yun Wang

Keyword(s):

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Magnetohydrodynamic Equations ◽

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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The regularity criterion for the 3D Navier–Stokes equations involving end-point Prodi–Serrin type conditions

Applied Mathematics Letters ◽

10.1016/j.aml.2017.06.014 ◽

2018 ◽

Vol 75 ◽

pp. 37-42 ◽

Author(s):

Chenyin Qian

Keyword(s):

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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Regularity Criterion for Weak Solutions to the Navier-Stokes Equations in Terms of the Gradient of the Pressure

Journal of Inequalities and Applications ◽

10.1155/2008/412678 ◽

2008 ◽

Vol 2008 (1) ◽

pp. 412678 ◽

Author(s):

Jishan Fan ◽

Tohru Ozawa

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations

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A note on a regularity criterion for the Navier–Stokes equations

Annales Polonici Mathematici ◽

10.4064/ap180826-22-11 ◽

2019 ◽

Vol 122 (2) ◽

pp. 193-199

Author(s):

Zdeněk Skalák

Keyword(s):

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations

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The end-point regularity criterion for the Navier–Stokes equations in terms of ∂3u

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2020.103120 ◽

2020 ◽

Vol 55 ◽

pp. 103120 ◽

Author(s):

Zdenek Skalak

Keyword(s):

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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A Refinement of the Local Serrin-Type Regularity Criterion for a Suitable Weak Solution to the Navier–Stokes Equations

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-014-0761-x ◽

2014 ◽

Vol 214 (2) ◽

pp. 525-544 ◽

Author(s):

Jiří Neustupa

Keyword(s):

Weak Solution ◽

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Suitable Weak Solution ◽

Navier Stokes Equations

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Regularity criterion for solutions to the Navier–Stokes equations in the whole 3D space based on two vorticity components

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.09.029 ◽

2018 ◽

Vol 458 (1) ◽

pp. 755-766 ◽

Author(s):

Zhengguang Guo ◽

Petr Kučera ◽

Zdeněk Skalák

Keyword(s):

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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A Weak-L p Prodi–Serrin Type Regularity Criterion for the Navier–Stokes Equations

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-014-0182-5 ◽

2014 ◽

Vol 16 (4) ◽

pp. 721-725 ◽

Author(s):

Stefano Bosia ◽

Vittorino Pata ◽

James C. Robinson

Keyword(s):

Stokes Equations ◽

Regularity Criterion ◽

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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A remark on the global regularity criterion for the 3D Navier–Stokes equations based on end-point Prodi–Serrin conditions

Applied Mathematics Letters ◽

10.1016/j.aml.2018.04.003 ◽

2018 ◽

Vol 83 ◽

pp. 182-187 ◽

Author(s):

Zujin Zhang ◽

Jinlu Li ◽

Zheng-an Yao

Keyword(s):

Global Regularity ◽

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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