Physics – Mathematical Physics
Scientific paper
2001-05-11
Physics
Mathematical Physics
32 LATEX5e pages; the new version imposes Galilean invariance on the dynamics; as a result, the corrections to the continuity
Scientific paper
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.
Streater R. F.
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