Dynamic correction to moment approximations

Iliya Karlin, Alexander Gorban, G. Dukek, T. Nonnenmacher
1998 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
Considering the Grad moment ansatz as a suitable first approximation to a closed finite-moment dynamics, the correction is derived from the Boltzmann equation. The correction consists of two parts, local and nonlocal. Locally corrected thirteen-moment equations are demonstrated to contain exact transport coefficients. Equations resulting from the nonlocal correction give a microscopic justification to some phenomenological theories of extended hydrodynamics.
doi:10.1103/physreve.57.1668 fatcat:r6tlzdg76ncp7pxbjs7r2rgijy