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Local Regularity of Axisymmetric Solutions to the Navier-Stokes Equations}

Analysis of PDEs 2020-06-09 v1

Abstract

In the note, a local regularity condition for axisymmetric solutions to the non-stationary 3D Navier-Stokes equations is proven. It reads that axially symmetric energy solutions to the Navier-Stokes equations have no Type I blowups.

Keywords

Cite

@article{arxiv.2006.04140,
  title  = {Local Regularity of Axisymmetric Solutions to the Navier-Stokes Equations}},
  author = {G. Seregin},
  journal= {arXiv preprint arXiv:2006.04140},
  year   = {2020}
}

Comments

22 pages