A priori bounds for the vorticity of axially symmetric solutions to the Navier-Stokes equations

zbMath1195.35240arXiv0811.1609MaRDI QIDQ981953

Qi S. Zhang, Jennifer Burke Loftus

Publication date: 9 July 2010

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.1609

zbMATH Keywords

Navier-Stokes equationsa priori boundsMoser's iterationaxially symmetric solutions

Mathematics Subject Classification ID

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) Viscous vortex flows (76D17) Axially symmetric solutions to PDEs (35B07)

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Regularity of solutions to axisymmetric Navier-Stokes equations with a slightly supercritical condition ⋮ Criticality of the axially symmetric Navier-Stokes equations ⋮ A regularity condition of 3d axisymmetric Navier-Stokes equations ⋮ Weighted a priori estimates for the swirl component of the vorticity of the axisymmetric Navier-Stokes system ⋮ A Review of Results on Axially Symmetric Navier-Stokes Equations, with Addendum by X. Pan and Q. Zhang ⋮ Remarks on the a priori bound for the vorticity of the axisymmetric Navier-Stokes equations. ⋮ Finite speed axially symmetric Navier-Stokes flows passing a cone ⋮ Regularity of solutions to the Navier-Stokes equations in \(\dot{B}_{\infty, \infty}^{-1} \) ⋮ A priori bound on the velocity in axially symmetric Navier-Stokes equations ⋮ Axisymmetric flows in the exterior of a cylinder ⋮ Some remarks on regularity criteria of axially symmetric Navier-Stokes equations ⋮ A Liouville theorem for the axially-symmetric Navier-Stokes equations ⋮ Bounded solutions to the axially symmetric Navier Stokes equation in a cusp region

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