首页|A Note on a Multi-Dimensional Radiating Gas Model with Nonlinear Radiative Inhomogeneity
A Note on a Multi-Dimensional Radiating Gas Model with Nonlinear Radiative Inhomogeneity
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In this paper,we consider the Cauchy problem of a multi-dimensional radi-ating 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 nu-clear phenomena.One of our main motivations is to attempt to explore how nonlinear radiative inhomogeneity influences the behavior of entropy solutions.Simple but dif-ferent 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 scal-ing.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.
Radiating gas modelnonlinear radiative inhomogeneityentropy solutionglobal well-posednessrelaxation limit
CHEN Yufeng、RUAN Lizhi、WEI Jing
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School of Mathematics and Statistics,and Hubei Key Lab-Math.Sci.,Central China Normal University,Wuhan 430079,PR China.
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