English

A smallness regularity criterion for the 3D Navier-Stokes equations in the largest class

Analysis of PDEs 2018-07-10 v1

Abstract

In this paper, we consider the three-dimensional Navier-Stokes equations, and show that if the B˙,1\dot B^{-1}_{\infty,\infty}-norm of the velocity field is sufficiently small, then the solution is in fact classical.

Keywords

Cite

@article{arxiv.1210.2790,
  title  = {A smallness regularity criterion for the 3D Navier-Stokes equations in the largest class},
  author = {Zujin Zhang},
  journal= {arXiv preprint arXiv:1210.2790},
  year   = {2018}
}

Comments

7 pages

R2 v1 2026-06-21T22:19:05.878Z