Boundary De Giorgi-Ladyzhenskaya classes and their application to regularity of swirl of Navier-Stokes

Abstract

The embeddings theorem of space-boundary-type DeGiorgi-Ladyzhenskaya parabolic classes into Holder spaces is presented, which is useful for regularity considerations for parabolic boundary value problems. Additionaly, the application of this theory to Navier-Stokes-s swirl is presented.

References in corpus (2)

• Global regular axially symmetric solutions to the Navier-Stokes equations in a periodic cylinder
• The Holder continuity of the swirl for the Navier-Stokes motions