Global regular axially symmetric solutions to the Navier-Stokes equations in a periodic cylinder

Abstract

Global regular axially symmetric solutions with large swirl in a cylinder with periodic conditions on the top and on the bottom are proved. On the lateral part of its boundary the boundary slip conditions are assumed. The proof is obtained step by step extending a local solution and showing that the initial data are not increasing.

Cited by in corpus (2)

• Boundary De Giorgi-Ladyzhenskaya classes and their application to regularity of swirl of Navier-Stokes
• A priori estimate for axially symmetric solutions to the Navier-Stokes equations near the axis of symmetry