From hyperbolic regularization to exact hydrodynamics for linearized Grad's equations
Statistical Mechanics
2007-06-13 v2
Abstract
Inspired by a recent hyperbolic regularization of Burnett's hydrodynamic equations [A. Bobylev, J. Stat. Phys. 124, 371 (2006)], we introduce a method to derive hyperbolic equations of linear hydrodynamics to any desired accuracy in Knudsen number. The approach is based on a dynamic invariance principle which derives exact constitutive relations for the stress tensor and heat flux, and a transformation which renders the exact equations of hydrodynamics hyperbolic and stable. The method is described in detail for a simple kinetic model - a thirteen moment Grad system.
Cite
@article{arxiv.cond-mat/0703791,
title = {From hyperbolic regularization to exact hydrodynamics for linearized Grad's equations},
author = {M. Colangeli and I. V. Karlin and M. Kroger},
journal= {arXiv preprint arXiv:cond-mat/0703791},
year = {2007}
}
Comments
23 pages, 5 figures, to appear in Phys. Rev. E