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

preprint2012arXivOpen access

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.

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