A priori bound on the velocity in axially symmetric Navier-Stokes equations

DOI10.1007/s00220-015-2496-4zbMath1341.35102arXiv1309.6625OpenAlexW1955642413MaRDI QIDQ906915

Zhen Lei, Qi S. Zhang, Esteban Adam Navas

Publication date: 1 February 2016

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.6625

zbMATH Keywords

a priori boundaxially symmetric Navier-Stokes equations, Leray-Hopf 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)

Related Items (9)

A regularity condition of 3d axisymmetric Navier-Stokes equations ⋮ Decay and vanishing of some axially symmetric D-solutions of the Navier-Stokes equations ⋮ Weighted a priori estimates for the swirl component of the vorticity of the axisymmetric Navier-Stokes system ⋮ Global regularity for a model of Navier-Stokes equations with logarithmic sub-dissipation ⋮ 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. ⋮ Regularity criterion to the axially symmetric Navier-Stokes equations ⋮ Regularity of solutions to the Navier-Stokes equations in \(\dot{B}_{\infty, \infty}^{-1} \) ⋮ Axisymmetric flows in the exterior of a cylinder

Cites Work

• Unnamed Item
• Structure of solutions of 3D axisymmetric Navier-Stokes equations near maximal points
• Liouville theorems for the Navier-Stokes equations and applications
• A Liouville theorem for the axially-symmetric Navier-Stokes equations
• A priori bounds for the vorticity of axially symmetric solutions to the Navier-Stokes equations
• One-point singular solutions to the Navier-Stokes equations
• A strong regularity result for parabolic equations
• Bilinear estimates in \(BMO\) and the Navier-Stokes equations
• On the regularity of the axisymmetric solutions of the Navier-Stokes equations
• Global well-posedness of the viscous Boussinesq equations
• On axially symmetric flows in \(\mathbb{R}^3\)
• Lower Bound on the Blow-up Rate of the Axisymmetric Navier–Stokes Equations
• Global Regularity of the 3D Axi-Symmetric Navier–Stokes Equations with Anisotropic Data
• On Type I Singularities of the Local Axi-Symmetric Solutions of the Navier–Stokes Equations
• Lower Bounds on the Blow-Up Rate of the Axisymmetric Navier–Stokes Equations II
• Partial regularity of suitable weak solutions of the navier-stokes equations
• Dynamic stability of the three‐dimensional axisymmetric Navier‐Stokes equations with swirl
• An interior regularity criterion for an axially symmetric suitable weak solution to the Navier-Stokes equations

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