2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119513This is a rather comprehensive study on the dynamics of Navier-Stokes and Euler equations via a combination of analysis and numerics. We focus upon two main aspects: (a). zero viscosity limit of the spectra of linear Navier-Stokes operator, (b). heteroclinics conjecture for Euler equation, its numerical verification, Melnikov integral, and simulation and control of chaos. Besides Navier-Stokes and Euler equations, we also study two models of them.53 pages, 39 figuresChaotic DynamicsMathematical PhysicsAnalysis of PDEsFluid Dynamicstext