paper

Partial regularity for the steady hyperdissipative fractional Navier-Stokes equations

arXiv:1803.08096 · doi:10.1007/s00220-020-03900-3

Abstract

We extend the Caffarelli-Kohn-Nirenberg type partial regularity theory for the steady -dimensional fractional Navier-Stokes equations with external force to the hyperdissipative setting. In our argument we use the methods of Colombo-De Lellis-Massaccesi to apply a blowup procedure adapted from work of Ladyzhenskaya-Seregin.

27 pages, comments welcome

Partial regularity for the steady hyperdissipative fractional Navier-Stokes equations · wovepaper