| 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 toy kinetic model - a thirteen moment Grad system.
for LaTeX users @article{MColangeli2007-75,
author = {M. Colangeli and I. V. Karlin and M. Kr\"oger},
title = {From hyperbolic regularization to exact hydrodynamics for linearized Grad's equations},
journal = {Phys. Rev. E},
volume = {75},
pages = {051204},
year = {2007}
}
\bibitem{MColangeli2007-75} M. Colangeli, I.V. Karlin, M. Kr\"oger,
From hyperbolic regularization to exact hydrodynamics for linearized Grad's equations,
Phys. Rev. E {\bf 75} (2007) 051204 (10 pages).MColangeli2007-75
M. Colangeli, I.V. Karlin, M. Kr\"oger
From hyperbolic regularization to exact hydrodynamics for linearized Grad's equations
Phys. Rev. E,75,2007,051204 (10 pages) |
mk@mat.ethz.ch
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