Metric structures of inviscid flows
chao-dyn
2008-02-03 v2 混沌动力学
流体动力学
摘要
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.
引用
@article{arxiv.chao-dyn/9602016,
title = {Metric structures of inviscid flows},
author = {Rubén A. Pasmanter},
journal= {arXiv preprint arXiv:chao-dyn/9602016},
year = {2008}
}
备注
20 pages, LaTeX. This version is almost identical to the one submitted for publication in October 1995