Hydrodynamics from Grad's equations: What can we learn from exact solutions?

Details Hydrodynamics from Grad's equations: What can we learn from exact solutions? Hydrodynamics from Grad's equations: What can we learn from exact solutions?

2002-09-24

arxiv.org/abs/cond-mat/0209560v1

Ann. Phys. (Leipzig), V. 11 (2002), 10-11, 783-833.

Physics

Condensed Matter

Statistical Mechanics

75 pages, 12 figures, to be published in Annalen der Physik

Scientific paper

10.1002/1521-3889(200211)11:10/1

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.

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