Corrections to Fluid Dynamics
Abstract
Description
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.
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
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