2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/84785We outline a statistical theory of turbulence based on the Lagrangian formulation of fluid motion. We derive a hierarchy of evolution equations for Lagrangian N-point probability distributions as well as a functional equation for a suitably defined probability functional which is the analog of Hopf's functional equation. Furthermore, we adress the derivation of a generalized Fokker-Plank equation for the joint velocity - position probability density of N fluid particles.Fluid DynamicsLagrangian Probability Distributions of Turbulent Flowstext