Hamilton's Principle and Rankine-Hugoniot Conditions for General Motions of Mixtures

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dc.creatorGouin, Henri
dc.creatorGavrilyuk, Sergey
dc.date2008-02-08
dc.date.accessioned2026-07-07T09:19:45Z
dc.date.available2026-07-07T09:19:45Z
dc.descriptionIn previous papers, we have presented hyperbolic governing equations and jump conditions for barotropic fluid mixtures. Now we extend our results to the most general case of two-fluid conservative mixtures taking into account the entropies of components. We obtain governing equations for each component of the medium. This is not a system of conservation laws. Nevertheless, using Hamilton's principle we are able to obtain a complete set of Rankine-Hugoniot conditions. In particular, for the gas dynamics they coincide with classical jump conditions of conservation of momentum and energy. For the two-fluid case, the jump relations do not involve the conservation of the total momentum and the total energy.
dc.descriptionExtended version of meccanica 34: 39-47, 1999
dc.identifierhttps://arxiv.org/abs/0802.1159
dc.identifierhttp://arxiv.org/abs/0802.1159
dc.identifierMeccanica 34, 1 (1999) 39-47
dc.identifierdoi:10.1023/A:1004370127958
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154507
dc.subjectFluid Dynamics
dc.subjectMathematical Physics
dc.titleHamilton's Principle and Rankine-Hugoniot Conditions for General Motions of Mixtures
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