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

Iliya V. Karlin·Alexander N. Gorban
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Abstract

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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BibTeXRIS

Iliya V. Karlin, Alexander N. Gorban. 2012-10-14. Hydrodynamics from Grad's equations: What can we learn from exact solutions?. https://doi.org/10.1002/1521-3889(200211)11%3A10%2F11%3C783%3A%3Aaid-andp783%3E3.0.co%3B2-v

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