dorsal/arxiv
View SchemaHydrodynamic equations for incompressible inviscid fluid in terms of generalized stream function
| Authors | Yuri A. Rylov |
|---|---|
| Categories | |
| ArXiv ID | physics/0303065 |
| URL | https://arxiv.org/abs/physics/0303065 |
| Journal | Int. Journ. Math. Math. Sci. v.2004., no. 11, 21 Feb. 2004, pp. 541-570 |
Abstract
Hydrodynamic equations for ideal incompressible fluid are written in terms of generalized stream function. Two-dimensional version of these equations is transformed to the form of one dynamic equation for the stream function. This equation contains arbitrary function which is determined by inflow conditions given on the boundary. To determine unique solution, velocity and vorticity (but not only velocity itself) must be given on the boundary. This unexpected circumstance may be interpreted in the sense that the fluid has more degrees of freedom, than it was believed. Besides, the vorticity is less observable quantity as compared with the velocity. It is shown that the Clebsch potentials are used essentially at the description of vortical flow.
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"abstract": "Hydrodynamic equations for ideal incompressible fluid are written in terms of\ngeneralized stream function. Two-dimensional version of these equations is\ntransformed to the form of one dynamic equation for the stream function. This\nequation contains arbitrary function which is determined by inflow conditions\ngiven on the boundary. To determine unique solution, velocity and vorticity\n(but not only velocity itself) must be given on the boundary. This unexpected\ncircumstance may be interpreted in the sense that the fluid has more degrees of\nfreedom, than it was believed. Besides, the vorticity is less observable\nquantity as compared with the velocity. It is shown that the Clebsch potentials\nare used essentially at the description of vortical flow.",
"arxiv_id": "physics/0303065",
"authors": [
"Yuri A. Rylov"
],
"categories": [
"physics.gen-ph"
],
"journal_ref": "Int. Journ. Math. Math. Sci. v.2004., no. 11, 21 Feb. 2004, pp.\n 541-570",
"title": "Hydrodynamic equations for incompressible inviscid fluid in terms of generalized stream function",
"url": "https://arxiv.org/abs/physics/0303065"
},
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