paper

A Serrin-type regularity criterion for the Navier-Stokes equations via one velocity component

arXiv:1103.1545 · doi:10.3934/capp.2013.12.117

Abstract

We study the Cauchy problem for the 3D Navier-Stokes equations, and prove some scalaring-invariant regularity criteria involving only one velocity component.

11 pages, to appear in CPAA