TY - JOUR
T1 - A Note on a Multi-Dimensional Radiating Gas Model with Nonlinear Radiative Inhomogeneity
AU - Chen , Yufeng
AU - Ruan , Lizhi
AU - Wei , Jing
JO - Journal of Partial Differential Equations
VL - 2
SP - 166
EP - 186
PY - 2024
DA - 2024/06
SN - 37
DO - http://doi.org/10.4208/jpde.v37.n2.4
UR - https://global-sci.org/intro/article_detail/jpde/23207.html
KW - Radiating gas model, nonlinear radiative inhomogeneity, entropy solution, global well-posedness, relaxation limit.
AB - <p style="text-align: justify;">In this paper, we consider the Cauchy problem of a multi-dimensional radiating gas model with nonlinear radiative inhomogeneity. Such a model gives a good
approximation to the radiative Euler equations, which are a fundamental system in
radiative hydrodynamics with many practical applications in astrophysical and nuclear phenomena. One of our main motivations is to attempt to explore how nonlinear
radiative inhomogeneity influences the behavior of entropy solutions. Simple but different phenomena are observed on relaxation limits. On one hand, the same relaxation
limit such as the hyperbolic-hyperbolic type limit is obtained, even for different scaling. On the other hand, different relaxation limits including hyperbolic-hyperbolic
type and hyperbolic-parabolic type limits are obtained, even for the same scaling if
different conditions are imposed on nonlinear radiative inhomogeneity.</p>