Metric structures of inviscid flows
نویسنده
چکیده
An intrinsic metric tensor, a flat connexion and the corresponding distance-like function are constructed in the configuration space formed by the velocity field 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 not metriccompatible. These results are achieved by applying the formalism of statistical manifolds [1, 2] to the statistical mechanics of a moving fluid. Submitted for publication.
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