Regularity criteria for the three-dimensional Navier-Stokes equations (original) (raw)

Global Regularity of the Navier-Stokes Equation on Thin Three-Dimensional Domains With Periodic Boundary Conditions

Stephen Montgomery-smith

Electronic Journal of Differential Equations, 1999

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Global Regularity Criterion for the 3D Navier–Stokes Equations Involving One Entry of the Velocity Gradient Tensor

Edriss Titi

2011

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On a regularity criterion for the Navier–Stokes equations involving gradient of one velocity component

Milan Pokorny

Journal of Mathematical Physics, 2009

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On the regularity of the solutions of the Navier–Stokes equations via one velocity component

Milan Pokorny

Nonlinearity, 2010

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A new regularity criterion for weak solutions to the Navier–Stokes equations

Michel THERA

Journal de Mathématiques Pures et Appliquées, 2005

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Conditions Implying Regularity of the Three Dimensional Navier-Stokes Equation

Stephen Montgomery-smith

Applications of Mathematics, 2005

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On the interior regularity criteria of the 3-D Navier-Stokes equations involving two velocity components

Zhifei Zhang

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Regularity Criteria of The Incompressible Navier-Stokes Equations via Only One Entry of Velocity Gradient

Zdenek Skalak

Journal of Mathematical Fluid Mechanics, 2019

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Geometric regularity criteria for incompressible Navier–Stokes equations with Navier boundary conditions

Siran Li

Nonlinear Analysis

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A short note on regularity criteria for the Navier–Stokes equations containing the velocity gradient

Milan Pokorny

Regularity and Other Aspects of the Navier-Stokes Equation, 2005

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Regularity Criteria in Weak L3 for 3D Incompressible Navier-Stokes Equations

Yuwen Luo

Funkcialaj Ekvacioj, 2015

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Some New Regularity Criteria for the Navier-Stokes Equations Containing Gradient of the Velocity

Milan Pokorny

Applications of Mathematics, 2000

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Regularity and singularity in solutions of the three-dimensional Navier-Stokes equations

J D Gibbon

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

Zdenek Skalak

Journal of Mathematical Analysis and Applications, 2018

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On the regularity of the Navier–Stokes equation in a thin periodic domain

Mohammed Ziane

Journal of Differential Equations, 2007

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Pressure Regularity Criterion for the Three-dimensional Navier-Stokes Equations in Infinite Channel

Edriss Titi

2007

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New Sufficient Conditions of Local Regularity for Solutions to the Navier–Stokes Equations

G. Seregin

Journal of Mathematical Fluid Mechanics, 2008

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Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations

Luigi Berselli

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On Anisotropic Regularity Criteria for the Solutions to 3D Navier–Stokes Equations

Milan Pokorny

Journal of Mathematical Fluid Mechanics, 2011

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Interior Regularity for Solutions to the Modified Navier--Stokes Equations

G. Seregin

Journal of Mathematical Fluid Mechanics, 1999

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

Zdenek Skalak

Annales Polonici Mathematici, 2019

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The Regularity of Weak Solutions of the 3D Navier―Stokes Equations in B―1∞,∞

Vladimir Sverak

Archive For Rational Mechanics and Analysis, 2010

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Existence of regular solutions to the stationary Navier-Stokes equations

Michael Ruzicka

Mathematische Annalen, 1995

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Global Regularity Solution of the 4th Clay Millennium Problem for the Periodic Navier Stokes Equations

Terry Moschandreou

arXiv (Cornell University), 2021

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A Regularity Criterion for the Navier–Stokes Equations

Hyeong-Ohk Bae

Communications in Partial Differential Equations, 2007

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Two new regularity criteria for the Navier–Stokes equations via two entries of the velocity Hessian tensor

Tasawar Hayat

Applied Mathematics Letters, 2014

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A regularity criterion for the Navier–Stokes equations via one diagonal entry of the velocity gradient

Zdenek Skalak

Communications in Mathematical Sciences, 2021

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Commentary on local and boundary regularity of weak solutions to Navier-Stokes equations

Zdenek Skalak

Electronic Journal of Differential Equations, 2004

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Remarks on regularity criteria for axially symmetric weak solutions to the Navier-Stokes equations

Milan Pokorny

Mathematical Methods in the Applied Sciences, 2012

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Regularity Criterion for Solutions of Three-Dimensional Turbulent Channel Flows

Edriss Titi

Communications in Partial Differential Equations, 2008

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

Zdenek Skalak

Journal of Mathematical Analysis and Applications, 2016

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Conditional regularity of solutions of the three-dimensional Navier-Stokes equations and implications for intermittency

J D Gibbon

Journal of Mathematical Physics, 2012

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Partial Boundary Regularity for the Navier-Stokes Equations

Gregory Seregin

Journal of Mathematical Sciences, 2006

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Global Existence of Strong Solution to 3D Periodic Navier-Stokes Equations

Abdelkerim Chaabani

2020

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Navier–Stokes Equations: Almost L3,∞-Case

G. Seregin

Journal of Mathematical Fluid Mechanics, 2007

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