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

A. N. Gorban; I. V. Karlin

doi:10.1007/s00161-005-0202-z

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

A. N. Gorban·I. V. Karlin

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Abstract

We 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.

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A. N. Gorban, I. V. Karlin. 2005-04-09. Invariance correction to Grad's equations: Where to go beyond approximations?. https://doi.org/10.1007/s00161-005-0202-z

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