dorsal/arxiv
View SchemaOn the similarity solutions for a steady MHD equation
| Authors | Jean-David Hoernel |
|---|---|
| Categories | |
| ArXiv ID | physics/0611050 |
| URL | https://arxiv.org/abs/physics/0611050 |
Abstract
In this paper, we investigate the similarity solutions for a steady laminar incompressible boundary layer equations governing the Magnetohydrodynamic (MHD) flow near the forward stagnation point of two-dimensional and axisymmetric bodies. This leads to the study of a boundary value problem involving a third order autonomous ordinary differential equation. Our main results are the existence, uniqueness and nonexistence for concave or convex solutions.
{
"annotation_id": "9b5505d7-ce5b-4d10-9816-8b68ef276c6c",
"date_created": "2026-03-02T18:01:14.524000Z",
"date_modified": "2026-03-02T18:01:14.524000Z",
"file_hash": "c9dc47a9760c14be552eb4a8cc8e13ed12609543dc38af7c4898f2a3b9dad58e",
"private": false,
"record": {
"abstract": "In this paper, we investigate the similarity solutions for a steady laminar\nincompressible boundary layer equations governing the Magnetohydrodynamic (MHD)\nflow near the forward stagnation point of two-dimensional and axisymmetric\nbodies. This leads to the study of a boundary value problem involving a third\norder autonomous ordinary differential equation. Our main results are the\nexistence, uniqueness and nonexistence for concave or convex solutions.",
"arxiv_id": "physics/0611050",
"authors": [
"Jean-David Hoernel"
],
"categories": [
"physics.class-ph",
"math.AP"
],
"title": "On the similarity solutions for a steady MHD equation",
"url": "https://arxiv.org/abs/physics/0611050"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "1c459721-4105-4974-89f7-928b8ee12538",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}