On the regularity criteria of the 3D Navier-Stokes equations in critical spaces

DOI10.1016/S0252-9602(11)60259-2zbMath1240.35382OpenAlexW2046813882MaRDI QIDQ655845

Zhi Min Chen, Saddek Gala, Bo-Qing Dong

Publication date: 27 January 2012

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(11)60259-2

zbMATH Keywords

Navier-Stokes equationsregularity criteria

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Related Items (14)

Global well-posedness of the 2D Boussinesq equations with partial dissipation ⋮ Remarks on the pressure regularity criterion of the micropolar fluid equations in multiplier spaces ⋮ On the pressure regularity criterion of the 3D Navier-Stokes equations ⋮ A note on the regularity criterion of weak solutions of Navier-Stokes equations in Lorentz space ⋮ On the regularity criterion for the Navier–Stokes equations in terms of one directional derivative ⋮ Regularization of the shock wave solution to the Riemann problem for the relativistic Burgers equation ⋮ Conditional regularity for the 3D Navier-Stokes equations in terms of the middle eigenvalue of the strain tensor ⋮ A regularity criterion to the 3D Boussinesq equations ⋮ Remarks on pressure blow-up criterion of the 3D zero-diffusion Boussinesq equations in margin Besov spaces ⋮ Regularity criterion for 3D Boussinesq equations via partial horizontal derivatives of two velocity components ⋮ A regularity criterion of weak solutions to the 3D Boussinesq equations ⋮ ON THE IMPROVED REGULARITY CRITERION OF THE SOLUTIONS TO THE NAVIER-STOKES EQUATIONS ⋮ A new improved regularity criterion of solutions to Leray-𝛼-MHD model and Navier-Stokes equation ⋮ Improvement of several regularity criteria for the Navier-Stokes equations

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