English

Partial regularity for the steady hyperdissipative fractional Navier-Stokes equations

Analysis of PDEs 2021-02-16 v1

Abstract

We extend the Caffarelli-Kohn-Nirenberg type partial regularity theory for the steady 55-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.

Keywords

Cite

@article{arxiv.1803.08096,
  title  = {Partial regularity for the steady hyperdissipative fractional Navier-Stokes equations},
  author = {Eric Chen},
  journal= {arXiv preprint arXiv:1803.08096},
  year   = {2021}
}

Comments

27 pages, comments welcome

R2 v1 2026-06-23T01:00:58.029Z