A Liouville theorem for the axially-symmetric Navier-Stokes equations

From MaRDI portal
Publication:719493

DOI10.1016/j.jfa.2011.06.016zbMath1244.35105arXiv1011.5066OpenAlexW2964284804MaRDI QIDQ719493

Zhen Lei, Qi S. Zhang

Publication date: 10 October 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.5066




Related Items (41)

Regularity of solutions to axisymmetric Navier-Stokes equations with a slightly supercritical conditionRemarks on regularity criteria for the Navier–Stokes equations with axisymmetric dataA Liouville theorem for Axi-symmetric Navier-Stokes equations on \(\mathbb{R}^2 \times \mathbb{T}^1\)Criticality of the axially symmetric Navier-Stokes equationsGlobal well-posedness of 3D axisymmetric MHD system with large swirl magnetic fieldA regularity condition of 3d axisymmetric Navier-Stokes equations3D axisymmetric MHD system with regularity in the swirl component of the vorticityWeighted a priori estimates for the swirl component of the vorticity of the axisymmetric Navier-Stokes systemImproved quantitative regularity for the Navier-Stokes equations in a scale of critical spacesA Review of Results on Axially Symmetric Navier-Stokes Equations, with Addendum by X. Pan and Q. ZhangRemarks on local regularity of axisymmetric solutions to the 3D Navier–Stokes equationsRemarks on the a priori bound for the vorticity of the axisymmetric Navier-Stokes equations.Quantitative control of solutions to the axisymmetric Navier-Stokes equations in terms of the weak \(L^3\) normLiouville theorems for the stationary Navier-Stokes equation on a hyperbolic spaceDecay and vanishing of some D-solutions of the Navier-Stokes equationsLocal regularity of axisymmetric solutions to the Navier–Stokes equationsAsymptotic behavior and Liouville-type theorems for axisymmetric stationary Navier-Stokes equations outside of an infinite cylinder with a periodic boundary conditionAbsence of anomalous dissipation of enstrophy for 3D incompressible Navier-Stokes equationsRegularity criteria of the axisymmetric Navier-Stokes equations and Hardy-Sobolev inequality in mixed Lorentz spacesRegularity of solutions to the Navier-Stokes equations in \(\dot{B}_{\infty, \infty}^{-1} \)On type I blow up for the Navier-Stokes equations near the boundaryA note on bounded scale-invariant quantities for the Navier-Stokes equationsA priori bound on the velocity in axially symmetric Navier-Stokes equationsLocal regularity of axisymmetric solutions to the Navier-Stokes equationsA pointwise regularity criterion for axisymmetric Navier-Stokes systemLiouville theorem of axially symmetric Navier-Stokes equations with growing velocity at infinitySome remarks on regularity criteria of axially symmetric Navier-Stokes equationsOn weighted regularity criteria for the axisymmetric Navier-Stokes equationsNew a priori estimates for the axisymmetric Navier-Stokes systemRegularity of 3D axisymmetric Navier-Stokes equationsOn scaling invariance and type-I singularities for the compressible Navier-Stokes equationsContinuous alignment of vorticity direction prevents the blow-up of the Navier-Stokes flow under the no-slip boundary conditionThe global solutions of axisymmetric Navier-Stokes equations with anisotropic initial dataAn anisotropic Sobolev–Hardy inequality with application to 3D axisymmetric Navier–Stokes equationsSeveral new regularity criteria for the axisymmetric Navier-Stokes equations with swirlBounded solutions to the axially symmetric Navier Stokes equation in a cusp regionGlobal regularity for a family of models of the axisymmetric Navier-Stokes systemRegularity criteria for the axisymmetric Navier-Stokes system with negative weightsA slightly supercritical condition of regularity of axisymmetric solutions to the Navier-Stokes equationsUnnamed ItemA note on local regularity of axisymmetric solutions to the Navier-Stokes equations



Cites Work


This page was built for publication: A Liouville theorem for the axially-symmetric Navier-Stokes equations