2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/214012In this paper we consider the Navier-Stokes Equations in 3 dimensions in the vorticity formulation in the absence of the external forces. We derive upper bounds on L_{infinity} norm of omega and use them together with the Local Existence and Uniqueness results to show Global Existence and Uniqueness of the solution provided that at t=0, L_{infinity} norm of omega is finite, or L_4 norm of omega is finite.General Mathematicstext