English

A note on weak solutions to the Navier-Stokes equations that are locally in $L_\infty(L^{3,\infty})$

Analysis of PDEs 2019-06-18 v1

Abstract

The aim of the note is to proof a regularity result for weak solutions to the Navier-Stokes equations that are locally in L(L3,)L_\infty(L^{3,\infty}). It reads that, in a sense, the number of singular points at each time is at most finite. Our note is inspired by the paper of H. J. Choe, J. Wolf, M. Yang [1].

Keywords

Cite

@article{arxiv.1906.06707,
  title  = {A note on weak solutions to the Navier-Stokes equations that are locally in $L_\infty(L^{3,\infty})$},
  author = {Gregory Seregin},
  journal= {arXiv preprint arXiv:1906.06707},
  year   = {2019}
}

Comments

18 pages