dorsal/arxiv
View SchemaLagrangian Probability Distributions of Turbulent Flows
| Authors | R. Friedrich |
|---|---|
| Categories | |
| ArXiv ID | physics/0207015 |
| URL | https://arxiv.org/abs/physics/0207015 |
Abstract
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.
{
"annotation_id": "a8bf6704-b21d-4f1b-bba1-f776548f9c7a",
"date_created": "2026-03-02T18:00:39.865000Z",
"date_modified": "2026-03-02T18:00:39.865000Z",
"file_hash": "3e0cdcec889a1340a69d57d3590f5b6adbe55a81b11310a0f740422f35a74bfd",
"private": false,
"record": {
"abstract": "We outline a statistical theory of turbulence based on the Lagrangian\nformulation of fluid motion. We derive a hierarchy of evolution equations for\nLagrangian N-point probability distributions as well as a functional equation\nfor a suitably defined probability functional which is the analog of Hopf\u0027s\nfunctional equation. Furthermore, we adress the derivation of a generalized\nFokker-Plank equation for the joint velocity - position probability density of\nN fluid particles.",
"arxiv_id": "physics/0207015",
"authors": [
"R. Friedrich"
],
"categories": [
"physics.flu-dyn"
],
"title": "Lagrangian Probability Distributions of Turbulent Flows",
"url": "https://arxiv.org/abs/physics/0207015"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "2c100a8f-a712-4cc4-b21c-d5f775922793",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}