2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/167714Assuming that initial velocity and initial vorticity are bounded in the plane, we show that on a sufficiently short time interval the unique solutions of the Navier-Stokes equations converge uniformly to the unique solution of the Euler equations as viscosity approaches zero. We also establish a rate of convergence.Submitted for publicationAnalysis of PDEsMathematical Physics76D05 (Primary) 76B99 (Secondary)Vanishing viscosity in the plane for nondecaying velocity and vorticitytext