On the regularity criterion of axisymmetric weak solutions to the 3D Navier-Stokes equations

DOI10.1016/j.na.2010.09.026zbMath1205.35194OpenAlexW1995587517MaRDI QIDQ611185

Saddek Gala

Publication date: 14 December 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.09.026

zbMATH Keywords

Navier-Stokes equationsa priori estimatesregularity criterion

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (10)

Remarks on regularity criteria for the Navier–Stokes equations with axisymmetric data ⋮ Global well-posedness of 3D axisymmetric MHD system with large swirl magnetic field ⋮ 3D axisymmetric MHD system with regularity in the swirl component of the vorticity ⋮ Weighted a priori estimates for the swirl component of the vorticity of the axisymmetric Navier-Stokes system ⋮ Remarks on the a priori bound for the vorticity of the axisymmetric Navier-Stokes equations. ⋮ A pointwise regularity criterion for axisymmetric Navier-Stokes system ⋮ On weighted regularity criteria for the axisymmetric Navier-Stokes equations ⋮ New a priori estimates for the axisymmetric Navier-Stokes system ⋮ Several new regularity criteria for the axisymmetric Navier-Stokes equations with swirl ⋮ Regularity criteria for the axisymmetric Navier-Stokes system with negative weights

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