dorsal/arxiv
View SchemaCylindrical ideal magnetohydrodynamic equilibria with incompressible flows
| Authors | G. N. Throumoulopoulos, H. Tasso |
|---|---|
| Categories | |
| ArXiv ID | physics/9705037 |
| URL | https://arxiv.org/abs/physics/9705037 |
| DOI | 10.1063/1.872322 |
Abstract
It is proved that (a) the solutions of the ideal magnetohydrodynamic equation, which describe the equlibrium states of a cylindrical plasma with purely poloidal flow and arbitrary cross sectional shape [G. N. Throumoulopoulos and G. Pantis, Plasma Phys. and Contr. Fusion 38, 1817 (1996)] are also valid for incompressible equlibrium flows with the axial velocity component being a free surface quantity and (b) for the case of isothermal incompressible equilibria the magnetic surfaces have necessarily circular cross section.
{
"annotation_id": "03338786-42d6-41ef-81b7-1d7ac2ab1e39",
"date_created": "2026-03-02T18:01:20.655000Z",
"date_modified": "2026-03-02T18:01:20.655000Z",
"file_hash": "639e59609d56490eed2305e1af24c63cc564384f0439872845e5f11601b2a021",
"private": false,
"record": {
"abstract": "It is proved that (a) the solutions of the ideal magnetohydrodynamic\nequation, which describe the equlibrium states of a cylindrical plasma with\npurely poloidal flow and arbitrary cross sectional shape [G. N.\nThroumoulopoulos and G. Pantis, Plasma Phys. and Contr. Fusion 38, 1817 (1996)]\nare also valid for incompressible equlibrium flows with the axial velocity\ncomponent being a free surface quantity and (b) for the case of isothermal\nincompressible equilibria the magnetic surfaces have necessarily circular cross\nsection.",
"arxiv_id": "physics/9705037",
"authors": [
"G. N. Throumoulopoulos",
"H. Tasso"
],
"categories": [
"physics.plasm-ph"
],
"doi": "10.1063/1.872322",
"title": "Cylindrical ideal magnetohydrodynamic equilibria with incompressible flows",
"url": "https://arxiv.org/abs/physics/9705037"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "6ea87793-bdea-4d83-a66d-c97453a3fde6",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}