2002/07/03 by R. Friedrich, Friedrich, R.
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Combustion and flame dynamics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Phase Equilibria and Thermodynamics #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.physics/0207015
arxiv created 2002/07/03 · openalex publication_date 2002/07/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We 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.