2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/221833We show existence and regularity result for the Navier Stokes system for small data in the space $Φ(2)$, and we show relations with some classical results.13 pages, title has been changed, some bugs have been corrected, and new comments in the last section have been addedAnalysis of PDEs76D03Global regular solutions for the Navier-stokes system with small initial data in $Φ(2)$: an elementary approachtext