A new form of governing equations of fluids arising from Hamilton's principle

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dc.creatorGavrilyuk, Sergey
dc.creatorGouin, Henri
dc.date2008-01-15
dc.date.accessioned2026-07-07T08:54:37Z
dc.date.available2026-07-07T08:54:37Z
dc.descriptionA new form of governing equations is derived from Hamilton's principle of least action for a constrained Lagrangian, depending on conserved quantities and their derivatives with respect to the time-space. This form yields conservation laws both for non-dispersive case (Lagrangian depends only on conserved quantities) and dispersive case (Lagrangian depends also on their derivatives). For non-dispersive case the set of conservation laws allows to rewrite the governing equations in the symmetric form of Godunov-Friedrichs-Lax. The linear stability of equilibrium states for potential motions is also studied. In particular, the dispersion relation is obtained in terms of Hermitian matrices both for non-dispersive and dispersive case. Some new results are extended to the two-fluid non-dispersive case.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/0801.2333
dc.identifierhttp://arxiv.org/abs/0801.2333
dc.identifierInternational Journal of Engineering Science / International Journal of Engineering Sciences 37, 12 (1999) 1495-1520
dc.identifierdoi:10.1016/S0020-7225(98)00131-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145998
dc.subjectFluid Dynamics
dc.subjectMathematical Physics
dc.subjectGeneral Mathematics
dc.titleA new form of governing equations of fluids arising from Hamilton's principle
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