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Corrections to Fluid Dynamics

R. F. Streater
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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.

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R. F. Streater. 2002-12-24. Corrections to Fluid Dynamics. https://arxiv.org/abs/math-ph/0105013

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