Hyperbolic Models of Homogeneous Two-Fluid Mixtures

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dc.creatorGavrilyuk, Sergey L.
dc.creatorGouin, Henri
dc.creatorPerepechko, Yurii
dc.date2008-02-08
dc.date.accessioned2026-07-07T09:19:45Z
dc.date.available2026-07-07T09:19:45Z
dc.descriptionOne derives the governing equations and the Rankine - Hugoniot conditions for a mixture of two miscible fluids using an extended form of Hamilton's principle of least action. The Lagrangian is constructed as the difference between the kinetic energy and a potential depending on the relative velocity of components. To obtain the governing equations and the jump conditions one uses two reference frames related with the Lagrangian coordinates of each component. Under some hypotheses on flow properties one proves the hyperbolicity of the governing system for small relative velocity of phases.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0802.1120
dc.identifierhttp://arxiv.org/abs/0802.1120
dc.identifierMeccanica 33, 2 (1998) 161-175
dc.identifierdoi:10.1023/A:1004354528016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154506
dc.subjectFluid Dynamics
dc.subjectMathematical Physics
dc.titleHyperbolic Models of Homogeneous Two-Fluid Mixtures
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