dorsal/arxiv
View SchemaKuzmin-Osledets Formulations of Compressible Euler Equations
| Authors | B. Shivamoggi, S. Kurien, D. Livescu |
|---|---|
| Categories | |
| ArXiv ID | physics/0606152 |
| URL | https://arxiv.org/abs/physics/0606152 |
Abstract
Kuzmin-Oseledets formulations of compressible Euler equations case are considered. Exact results and physical interpretations are given. One such exact result for the compressible barotropic case is the potential helicity Lagrange invariant. In recognition of the fundamental physical implications of this Lagrange invariant clarified here, this invariant is shown to hold for compressible non-barotropic cases as well upon using a stronger gauge condition. Symmetry restoration taking place at the Lagrangian level in the Kuzmin-Oseledets formulation is pointed out. The Kuzmin-Oseledets formulation in the compressible barotropic case is shown to admit an exact solution that physically describes a density wave on a steady irrotational flow with the Kuzmin-Oseledets velocity q growing monotonically with it and hence specifying some information about the fluid impulse that is needed to set up the flow in question.
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"date_created": "2026-03-02T18:01:10.592000Z",
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"abstract": "Kuzmin-Oseledets formulations of compressible Euler equations case are\nconsidered. Exact results and physical interpretations are given. One such\nexact result for the compressible barotropic case is the potential helicity\nLagrange invariant. In recognition of the fundamental physical implications of\nthis Lagrange invariant clarified here, this invariant is shown to hold for\ncompressible non-barotropic cases as well upon using a stronger gauge\ncondition. Symmetry restoration taking place at the Lagrangian level in the\nKuzmin-Oseledets formulation is pointed out. The Kuzmin-Oseledets formulation\nin the compressible barotropic case is shown to admit an exact solution that\nphysically describes a density wave on a steady irrotational flow with the\nKuzmin-Oseledets velocity q growing monotonically with it and hence specifying\nsome information about the fluid impulse that is needed to set up the flow in\nquestion.",
"arxiv_id": "physics/0606152",
"authors": [
"B. Shivamoggi",
"S. Kurien",
"D. Livescu"
],
"categories": [
"physics.flu-dyn"
],
"title": "Kuzmin-Osledets Formulations of Compressible Euler Equations",
"url": "https://arxiv.org/abs/physics/0606152"
},
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