Metric structures of inviscid flows

dc.creatorPasmanter, Rubén A.
dc.date1996-02-15
dc.date1996-02-16
dc.date.accessioned2026-07-07T09:02:16Z
dc.date.available2026-07-07T09:02:16Z
dc.descriptionAn intrinsic metric tensor, a flat connexion and the corresponding distance-like function are constructed in the configuration space formed by velocity field {\bf and} the thermodynamic variables of an inviscid fluid. The kinetic-energy norm is obtained as a limiting case; all physical quantities are Galilean invariant. Explicit expressions are given for the case of an ideal gas. The flat connexion is {\bf not} metric-compatible. These results are achieved by applying the formalism of statistical manifolds \cite{amari,otros} to the statistical mechanics of a moving fluid.
dc.description20 pages, LaTeX. This version is almost identical to the one submitted for publication in October 1995
dc.identifierhttps://arxiv.org/abs/chao-dyn/9602016
dc.identifierhttp://arxiv.org/abs/chao-dyn/9602016
dc.identifierPhysica A 258 (1998) 311-328.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148570
dc.subjectChaotic Dynamics
dc.subjectFluid Dynamics
dc.titleMetric structures of inviscid flows
dc.typetext

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