dorsal/arxiv
View SchemaInterfusion, labeling and stream lines in flow of inviscid barotropic fluid
| Authors | Yuri A. Rylov |
|---|---|
| Categories | |
| ArXiv ID | physics/0701016 |
| URL | https://arxiv.org/abs/physics/0701016 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
It is shown that the Euler system of hydrodynamic equations for inviscid barotropic fluid for density and velocity is not a complete system of dynamic equations for the inviscicd barotropic fluid. It is only a closed subsystem of four dynamic equation. The complete system of dynamic equation consists of seven dynamic equations for seven dependent variables: density, velocity and labeling (Lagrangian coordinates, considered as dependent variables). Solution of the Cauchy problem for the Euler subsystem is unique. Solution of the Cauchy problem for the complete hydrodynamic system, containing seven equations, is unique only for irrotational flows. For vortical flows solution of the Cauchy problem is not unique. The reason of the nonuniqueness is an interfusion, which cannot be taken into account properly in the framework of hydrodynamics. There are some arguments in favour of connection between interfusion and turbulence.
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"date_created": "2026-03-02T18:01:14.918000Z",
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"abstract": "It is shown that the Euler system of hydrodynamic equations for inviscid\nbarotropic fluid for density and velocity is not a complete system of dynamic\nequations for the inviscicd barotropic fluid. It is only a closed subsystem of\nfour dynamic equation. The complete system of dynamic equation consists of\nseven dynamic equations for seven dependent variables: density, velocity and\nlabeling (Lagrangian coordinates, considered as dependent variables). Solution\nof the Cauchy problem for the Euler subsystem is unique. Solution of the Cauchy\nproblem for the complete hydrodynamic system, containing seven equations, is\nunique only for irrotational flows. For vortical flows solution of the Cauchy\nproblem is not unique. The reason of the nonuniqueness is an interfusion, which\ncannot be taken into account properly in the framework of hydrodynamics. There\nare some arguments in favour of connection between interfusion and turbulence.",
"arxiv_id": "physics/0701016",
"authors": [
"Yuri A. Rylov"
],
"categories": [
"physics.gen-ph",
"physics.flu-dyn"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Interfusion, labeling and stream lines in flow of inviscid barotropic fluid",
"url": "https://arxiv.org/abs/physics/0701016"
},
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