Corrections to Fluid Dynamics

dc.creatorStreater, R. F.
dc.date2001-05-11
dc.date2002-12-24
dc.date.accessioned2026-07-07T04:28:27Z
dc.date.available2026-07-07T04:28:27Z
dc.descriptionWe 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.
dc.description32 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
dc.identifierhttps://arxiv.org/abs/math-ph/0105013
dc.identifierhttp://arxiv.org/abs/math-ph/0105013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56791
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subject76N15
dc.titleCorrections to Fluid Dynamics
dc.typetext

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