dorsal/arxiv
View SchemaSimplified Variational Principles for Barotropic Fluid Dynamics
| Authors | Asher Yahalom, Donald Lynden-Bell |
|---|---|
| Categories | |
| ArXiv ID | physics/0603162 |
| URL | https://arxiv.org/abs/physics/0603162 |
| DOI | 10.1080/03091929.2014.952725 |
| Journal | Geophysical & Astrophysical Fluid Dynamics. 11/2014; 108(6) |
Abstract
We introduce a three independent functions variational formalism for stationary and non-stationary barotropic flows. This is less than the four variables which appear in the standard equations of fluid dynamics which are the velocity field $\vec v$ and the density $\rho$. It will be shown how in terms of our new variable the Euler and continuity equations can be integrated in the stationary case.
{
"annotation_id": "0bdc0be2-9bc8-4d80-b3e2-5f32315445ec",
"date_created": "2026-03-02T18:01:07.899000Z",
"date_modified": "2026-03-02T18:01:07.899000Z",
"file_hash": "94bbf3996350a7f29e1fca512bba87d4aa9745e2b6005bb7cb1b1cfa7dab7a76",
"private": false,
"record": {
"abstract": "We introduce a three independent functions variational formalism for\nstationary and non-stationary barotropic flows. This is less than the four\nvariables which appear in the standard equations of fluid dynamics which are\nthe velocity field $\\vec v$ and the density $\\rho$. It will be shown how in\nterms of our new variable the Euler and continuity equations can be integrated\nin the stationary case.",
"arxiv_id": "physics/0603162",
"authors": [
"Asher Yahalom",
"Donald Lynden-Bell"
],
"categories": [
"physics.flu-dyn",
"astro-ph",
"math-ph",
"math.MP",
"physics.comp-ph"
],
"doi": "10.1080/03091929.2014.952725",
"journal_ref": "Geophysical \u0026 Astrophysical Fluid Dynamics. 11/2014; 108(6)",
"title": "Simplified Variational Principles for Barotropic Fluid Dynamics",
"url": "https://arxiv.org/abs/physics/0603162"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "7541a52a-9f41-4fc0-9277-2034eed066cd",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}