2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143265This article is devoted to a regularity criteria for solutions of the Navier-Stokes equations in terms of regularity along the stream lines. More precisely, we prove that a suitable weak solution for the Navier-Stokes equations is regular under some constraint on the second derivative of |u| along the stream lines.25 pagesAnalysis of PDEs35B65, 76D03, 76D05Smoothness criteria for Navier-Stokes equations in terms of regularity along the steam linestext