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

Zujin Zhang

doi:10.1016/j.jmaa.2014.01.006

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 ◽

Cited By ~ 8

Author(s):

Zujin Zhang

Keyword(s):

Velocity Component ◽

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations

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 ◽

Cited By ~ 54

Author(s):

Yong Zhou ◽

Milan Pokorný

Keyword(s):

Velocity Component ◽

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations

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 ◽

Cited By ~ 15

Author(s):

Chenyin Qian

Keyword(s):

Velocity Component ◽

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations

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 ◽

Cited By ~ 4

Author(s):

Zhuan Ye

Keyword(s):

Velocity Component ◽

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations

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 ◽

Cited By ~ 14

Author(s):

Yong Zhou

Keyword(s):

Velocity Component ◽

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations

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 ◽

Cited By ~ 22

Author(s):

Xiaoxin Zheng

Keyword(s):

Velocity Component ◽

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations

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 ◽

Cited By ~ 20

Author(s):

Zujin Zhang

Keyword(s):

Velocity Component ◽

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations

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

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2015.06.050 ◽

2015 ◽

Vol 432 (1) ◽

pp. 603-611 ◽

Cited By ~ 2

Author(s):

Zujin Zhang ◽

Xian Yang

Keyword(s):

Velocity Component ◽

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations

Improved regularity criterion for the 3D Navier–Stokes equations via the gradient of one velocity component

SN Partial Differential Equations and Applications ◽

10.1007/s42985-021-00096-6 ◽

2021 ◽

Vol 2 (3) ◽

Author(s):

Sadek Gala ◽

Maria Alessandra Ragusa

Keyword(s):

Velocity Component ◽

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations

A regularity criterion for the Navier–Stokes equations based on the gradient of one velocity component

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2016.01.023 ◽

2016 ◽

Vol 437 (1) ◽

pp. 474-484 ◽

Cited By ~ 3

Author(s):

Zdeněk Skalák

Keyword(s):

Velocity Component ◽

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations

A regularity criterion for the angular velocity component in the case of axisymmetric Navier–Stokes equations

Elliptic and Parabolic Problems ◽

10.1142/9789812777201_0022 ◽

2002 ◽

Cited By ~ 4

Author(s):

Milan Pokorný

Keyword(s):

Angular Velocity ◽

Velocity Component ◽

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations