An optimal regularity criterion for the Navier–Stokes equations proved by a blow-up argument

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2020.103207 ◽

2021 ◽

Vol 58 ◽

pp. 103207

Author(s):

Zdenek Skalak

Keyword(s):

Blow Up ◽

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Optimal Regularity ◽

Navier Stokes Equations

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The optimal regularity criterion for the Navier‐Stokes equations in terms of one directional derivative of the velocity

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.201800114 ◽

2019 ◽

Vol 100 (1) ◽

Author(s):

Yuliya Namlyeyeva ◽

Zdenek Skalak

Keyword(s):

Stokes Equations ◽

Directional Derivative ◽

Regularity Criterion ◽

Navier Stokes ◽

Optimal Regularity ◽

Navier Stokes Equations

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Blow-up and Global Smooth Solutions for Incompressible Three-Dimensional Navier–Stokes Equations

Chinese Physics Letters ◽

10.1088/0256-307x/25/6/052 ◽

2008 ◽

Vol 25 (6) ◽

pp. 2115-2117 ◽

Author(s):

Guo Bo-Ling ◽

Yang Gan-Shan ◽

Pu Xue-Ke

Keyword(s):

Blow Up ◽

Stokes Equations ◽

Three Dimensional ◽

Navier Stokes ◽

Smooth Solutions ◽

Navier Stokes Equations ◽

Global Smooth Solutions

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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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On blow-up space jets for the Navier–Stokes equations in R3 with convergence to Euler equations

Journal of Mathematical Physics ◽

10.1063/1.3012382 ◽

2008 ◽

Vol 49 (11) ◽

pp. 113101 ◽

Author(s):

V. A. Galaktionov

Keyword(s):

Euler Equations ◽

Blow Up ◽

Stokes Equations ◽

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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Blow-Up Criterion for 3D Navier-Stokes Equations and Landau-Lifshitz System in a Bounded Domain

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

10.1007/978-3-0348-0939-9_10 ◽

2016 ◽

pp. 175-182

Author(s):

Jishan Fan ◽

Tohru Ozawa

Keyword(s):

Bounded Domain ◽

Blow Up ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Blow Up Criterion

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Blow up criteria for the compressible Navier–Stokes equations

Mathematical Analysis in Fluid Mechanics - Contemporary Mathematics ◽

10.1090/conm/710/14364 ◽

2018 ◽

pp. 65-84 ◽

Author(s):

Hi Choe ◽

Minsuk Yang

Keyword(s):

Blow Up ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Blow up of classical solutions to the isentropic compressible Navier–Stokes equations

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2015.03.005 ◽

2015 ◽

Vol 25 ◽

pp. 112-117 ◽

Author(s):

Ning-An Lai

Keyword(s):

Blow Up ◽

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations

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Blow-Up Scenarios for the 3D Navier–Stokes Equations Exhibiting Sub-Criticality with Respect to the Scaling of One-Dimensional Local Sparseness

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-013-0155-0 ◽

2013 ◽

Vol 16 (2) ◽

pp. 321-334 ◽

Author(s):

Zachary Bradshaw ◽

Zoran Grujić

Keyword(s):

Blow Up ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional

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