@Article{NMTMA-10-255,
author = {Yana Di, Yuwei Fan, Ruo Li and Lingchao Zheng},
title = {Linear Stability of Hyperbolic Moment Models for Boltzmann Equation},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2017},
volume = {10},
number = {2},
pages = {255--277},
abstract = {<p style="text-align: justify;">Grad&#39;s moment models for Boltzmann equation were recently regularized
to globally hyperbolic systems and thus the regularized models attain
local well-posedness for Cauchy data. The hyperbolic regularization
is only related to the convection term in Boltzmann equation. We in
this paper studied the regularized models with the presentation of
collision terms. It is proved that the regularized models are linearly
stable at the local equilibrium and satisfy Yong&#39;s first
stability condition with commonly used approximate collision terms,
and particularly with Boltzmann&#39;s binary collision model.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2017.s04},
url = {http://global-sci.org/intro/article_detail/nmtma/12346.html}
}