Corrections to Fluid Dynamics
Abstract
We show that a Galilean invariant version of fluid dynamics can be derived by the methods of statistical dynamics using Maxwell's balance equations. The basic equation is non-local, and might replace Boltzmann's equation if the latter turns out not to have global smooth solutions in general. As an approximation, a local form of the equation of motion is derived. It turns out to be a version of the compressible Navier-Stokes system with temperature, obeying Stokes's relation, and with viscosity rising as the square-root of the temperature. The new feature is the presence of a Dufour effect for a gas of a single component.
Cite
@article{arxiv.math-ph/0105013,
title = {Corrections to Fluid Dynamics},
author = {R. F. Streater},
journal= {arXiv preprint arXiv:math-ph/0105013},
year = {2007}
}
Comments
32 LATEX5e pages; the new version imposes Galilean invariance on the dynamics; as a result, the corrections to the continuity equation and momentum equation disappear; the Dufour effect in the heat current remains as an unusual feature