dorsal/arxiv
View SchemaQuasilinear theory of the 2D Euler equation
| Authors | Pierre-Henri Chavanis |
|---|---|
| Categories | |
| ArXiv ID | physics/9911024 |
| URL | https://arxiv.org/abs/physics/9911024 |
| DOI | 10.1103/PhysRevLett.84.5512 |
| Journal | Phys. Rev. Lett. 84, 5512-5515 (2000) |
Abstract
We develop a quasilinear theory of the 2D Euler equation and derive an integro-differential equation for the evolution of the coarse-grained vorticity. This equation respects all the invariance properties of the Euler equation and conserves angular momentum in a circular domain and linear impulse in a channel. We show under which hypothesis we can derive a H-theorem for the Fermi-Dirac entropy and make the connection with statistical theories of 2D turbulence.
{
"annotation_id": "532d9e3f-3efb-4504-a1cf-74623bf98778",
"date_created": "2026-03-02T18:01:25.024000Z",
"date_modified": "2026-03-02T18:01:25.024000Z",
"file_hash": "b60fd914d7782033a83538329b77b6843b450c8f8d8db63c073ad26ff3fdfe3f",
"private": false,
"record": {
"abstract": "We develop a quasilinear theory of the 2D Euler equation and derive an\nintegro-differential equation for the evolution of the coarse-grained\nvorticity. This equation respects all the invariance properties of the Euler\nequation and conserves angular momentum in a circular domain and linear impulse\nin a channel. We show under which hypothesis we can derive a H-theorem for the\nFermi-Dirac entropy and make the connection with statistical theories of 2D\nturbulence.",
"arxiv_id": "physics/9911024",
"authors": [
"Pierre-Henri Chavanis"
],
"categories": [
"physics.flu-dyn",
"cond-mat.stat-mech",
"nlin.CD"
],
"doi": "10.1103/PhysRevLett.84.5512",
"journal_ref": "Phys. Rev. Lett. 84, 5512-5515 (2000)",
"title": "Quasilinear theory of the 2D Euler equation",
"url": "https://arxiv.org/abs/physics/9911024"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "f0a2eed6-128c-4d9a-88a1-f16950249ae5",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}