2001/05/11 by R. F. Streater, Streater, R. F.
Engineering · Mathematics · Physics and Astronomy · Psychology · #76N15 #Analysis of PDEs (math.AP) #Dynamics (music) #FOS: Mathematics #FOS: Physical sciences #Fluid dynamics and aerodynamics studies #Mathematical Physics (math-ph) #Navier-Stokes equation solutions #Psychology #Thermoelastic and Magnetoelastic Phenomena #math-ph #math.AP #math.MP #msc:76N15
paper · pdf · doi:10.48550/arxiv.math-ph/0105013
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
openalex publication_date 2001/05/11 · arxiv created 2002/12/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.