A Slightly Supercritical Condition of Regularity of Axisymmetric Solutions to the Navier-Stokes Equations

Abstract

In the note, a new regularity condition for axisymmetric solutions to the non-stationary 3D Navier-Stokes equations is proven. It is slightly supercritical.

25 pages

References in corpus (3)

• On the global well-posedness for the Boussinesq system with horizontal dissipation
• Regularity of Solution to Axis-symmetric Navier-Stokes Equations with a Slightly Supercritical Condition
• Some Remarks on Regularity Criteria of Axially Symmetric Navier-Stokes Equations