Iliya V. Karlin, Alexander N. Gorban
Published 2002-09-24, updated 2012-10-14Version 2
A detailed treatment of the classical Chapman-Enskog derivation of hydrodynamics is given in the framework of Grad's moment equations. Grad's systems are considered as the minimal kinetic models where the Chapman-Enskog method can be studied exactly, thereby providing the basis to compare various approximations in extending the hydrodynamic description beyond the Navier-Stokes approximation. Various techniques, such as the method of partial summation, Pade approximants, and invariance principle are compared both in linear and nonlinear situations.
Comments: 61 pages. Slightly edited and corrected version. It follows mostly Chapter 8 of the book: Gorban, A.N. and Karlin, I.V., Invariant Manifolds for Physical and Chemical Kinetics, Lect. Notes Phys. 660, Springer, Berlin, Heidelberg, 2005
Journal: Ann. Phys. (Leipzig), V. 11 (2002), 10-11, 783-833
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