Space-time behavior for radiative hydrodynamics model with or without heat conduction

Abstract

We consider space-time behaviors of smooth solutions for the radiative hydrodynamics system with or without heat conduction in the whole space \(R^3\) by using Green's function method. This result exhibits the generalized Huygens' principle as the classical compressible Navier-Stokes equations [3,26], which is different from the Hamer model for radiating gases in [36]. For more information see https://ejde.math.txstate.edu/Volumes/2023/60/abstr.html