Invariance correction to Grad's equations: Where to go beyond approximations?

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dc.creatorGorban, A. N.
dc.creatorKarlin, I. V.
dc.date2005-04-09
dc.date.accessioned2026-07-07T06:24:08Z
dc.date.available2026-07-07T06:24:08Z
dc.descriptionWe review some recent developments of Grad's approach to solving the Boltzmann equation and creating reduced description. The method of invariant manifold is put forward as a unified principle to establish corrections to Grad's equations. A consistent derivation of regularized Grad's equations in the framework the method of invariant manifold is given. A new class of kinetic models to lift the finite-moment description to a kinetic theory in the whole space is established. Relations of Grad's approach to modern mesoscopic integrators such as the entropic lattice Boltzmann method are also discussed.
dc.description35 pages, a review paper, Continuum Mechanics and Thermodynamics, in press
dc.identifierhttps://arxiv.org/abs/cond-mat/0504221
dc.identifierhttp://arxiv.org/abs/cond-mat/0504221
dc.identifierContinuum Mech. Thermodyn. (2005) 17(4): 311--335.
dc.identifierdoi:10.1007/s00161-005-0202-z
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96441
dc.subjectStatistical Mechanics
dc.titleInvariance correction to Grad's equations: Where to go beyond approximations?
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