2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174615We prove that the Navier-Stokes, the Euler and the Stokes equations admit a Lagrangian structure using the stochastic embedding of Lagrangian systems. These equations coincide with extremals of an explicit stochastic Lagrangian functional, i.e. they are stochastic Lagrangian systems in the sense of [Cresson-Darses, J. Math. Phys. 48, 072703 (2007]Analysis of PDEsDynamical SystemsProbabilitytext