On Hyperbolicity of 13-Moment System
Mathematical Physics
2014-01-30 v1 math.MP
Abstract
We point out that the thermodynamic equilibrium is not an interior point of the hyperbolicity region of Grad's 13-moment system. With a compact expansion of the phase density, which is compacter than Grad's expansion, we derived a modified 13-moment system. The new 13-moment system admits the thermodynamic equilibrium as an interior point of its hyperbolicity region. We deduce a concise criterion to ensure the hyperbolicity, thus the hyperbolicity region can be quantitatively depicted.
Keywords
Cite
@article{arxiv.1401.7523,
title = {On Hyperbolicity of 13-Moment System},
author = {Zhenning Cai and Yuwei Fan and Ruo Li},
journal= {arXiv preprint arXiv:1401.7523},
year = {2014}
}
Comments
19 pages, 3 figures