From hyperbolic regularization to exact hydrodynamics for linearized Grad's equations

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dc.creatorColangeli, M.
dc.creatorKarlin, I. V.
dc.creatorKroger, M.
dc.date2007-03-29
dc.date2007-04-04
dc.date.accessioned2026-07-07T08:05:50Z
dc.date.available2026-07-07T08:05:50Z
dc.descriptionInspired by a recent hyperbolic regularization of Burnett's hydrodynamic equations [A. Bobylev, J. Stat. Phys. 124, 371 (2006)], we introduce a method to derive hyperbolic equations of linear hydrodynamics to any desired accuracy in Knudsen number. The approach is based on a dynamic invariance principle which derives exact constitutive relations for the stress tensor and heat flux, and a transformation which renders the exact equations of hydrodynamics hyperbolic and stable. The method is described in detail for a simple kinetic model - a thirteen moment Grad system.
dc.description23 pages, 5 figures, to appear in Phys. Rev. E
dc.identifierhttps://arxiv.org/abs/cond-mat/0703791
dc.identifierhttp://arxiv.org/abs/cond-mat/0703791
dc.identifierPhys. Rev. E 75, 051204 (2007) (10 pages)
dc.identifierdoi:10.1103/PhysRevE.75.051204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130403
dc.subjectStatistical Mechanics
dc.titleFrom hyperbolic regularization to exact hydrodynamics for linearized Grad's equations
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