English

On Smoothness of $L_{3,\infty}$-Solutions to the Navier-Stokes Equations up to Boundary

Analysis of PDEs 2007-05-23 v1

Abstract

We show that L3,L_{3,\infty}-solutions to the three-dimensional Navier-Stokes equations near a flat part of the boundary are smooth.

Keywords

Cite

@article{arxiv.math/0410056,
  title  = {On Smoothness of $L_{3,\infty}$-Solutions to the Navier-Stokes Equations up to Boundary},
  author = {Gregory Seregin},
  journal= {arXiv preprint arXiv:math/0410056},
  year   = {2007}
}

Comments

23 pages, preprint PDMI-160/2003