TY - JOUR
T1 - Linear Stability of Hyperbolic Moment Models for Boltzmann Equation
AU - Yana Di, Yuwei Fan, Ruo Li & Lingchao Zheng
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 2
SP - 255
EP - 277
PY - 2017
DA - 2017/10
SN - 10
DO - http://doi.org/10.4208/nmtma.2017.s04
UR - https://global-sci.org/intro/article_detail/nmtma/12346.html
KW - 
AB - <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>