Regularity and singularity in solutions of the three-dimensional Navier-Stokes equations (original) (raw)

Regularity criteria for the three-dimensional Navier-Stokes equations

Edriss Titi

Indiana University Mathematics Journal, 2008

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

Yuwen Luo

Funkcialaj Ekvacioj, 2015

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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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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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Potentially Singular Behavior of the 3D Navier–Stokes Equations

Thomas Hou

Foundations of Computational Mathematics

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On the Partial Regularity of a 3D Model of the Navier-Stokes Equations

Thomas Hou

Communications in Mathematical Physics, 2009

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On the interior regularity criterion and the number of singular points to the Navier-Stokes equations

Zhifei Zhang

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Navier–Stokes Equations: Almost L3,∞-Case

G. Seregin

Journal of Mathematical Fluid Mechanics, 2007

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

Milan Pokorny

Nonlinearity, 2010

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The nearly singular behavior of the 3D Navier-Stokes equations

Thomas Hou

ArXiv, 2021

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

Edriss Titi

2007

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Global Regularity of the 3 D AxiSymmetric Navier – Stokes Equations 1623 angular velocity and vorticity components of the 3 D axisymmetric Navier – Stokes equations

Thomas Hou

2008

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

Siran Li

Nonlinear Analysis

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Dynamics of Scaled Norms of Vorticity for the Three-dimensional Navier-Stokes and Euler Equations

J D Gibbon

Procedia IUTAM

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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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Note on loss of regularity for solutions of the 3?D incompressible euler and related equations

Popescu Constantin

Communications in Mathematical Physics, 1986

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

Edriss Titi

2011

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Intermittency and Regularity Issues in 3D Navier-Stokes Turbulence

J D Gibbon

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

G. Seregin

Journal of Mathematical Fluid Mechanics, 1999

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Incompressible Navier Stokes Equations

Terry Moschandreou

arXiv (Cornell University), 2020

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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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On Regular Solutions for Three-Dimensional Full Compressible Navier–Stokes Equations with Degenerate Viscosities and Far Field Vacuum

Shengguo Zhu

Archive for Rational Mechanics and Analysis

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Regimes of nonlinear depletion and regularity in the 3D Navier–Stokes equations

Robert Kerr

Nonlinearity, 2014

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On singularity formation of a 3D model for incompressible Navier–Stokes equations

Thomas Hou

Advances in Mathematics, 2012

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Navier–Stokes equations: Green's matrices, vorticity direction, and regularity up to the boundary

Hugo Da Veiga, Luigi Berselli

Journal of Differential Equations, 2009

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Vorticity moments in four numerical simulations of the 3D Navier–Stokes equations

J D Gibbon

Journal of Fluid Mechanics, 2013

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Global regularity for a family of 3D models of the axi-symmetric Navier–Stokes equations

Thomas Hou

Nonlinearity

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