Metric structures of inviscid flows

Rubén A. Pasmanter

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arXiv · chao-dyn/9602016

Metric structures of inviscid flows

Rubén A. Pasmanter

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Abstract

An 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.

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Rubén A. Pasmanter. 1996-02-16. Metric structures of inviscid flows. https://arxiv.org/abs/chao-dyn/9602016

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