Year: 2024
Author: Yufeng Chen, Lizhi Ruan, Jing Wei
Journal of Partial Differential Equations, Vol. 37 (2024), Iss. 2 : pp. 166–186
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v37.n2.4
Journal of Partial Differential Equations, Vol. 37 (2024), Iss. 2 : pp. 166–186
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Radiating gas model nonlinear radiative inhomogeneity entropy solution global well-posedness relaxation limit.