Electronic Journal of Differential Equations, Vol. 2023 (2023), No. 60, pp. 1-21.

Title: Space-time behavior for radiative hydrodynamics model with or without heat conduction
       
Authors: Mengqian Liu (Donghua Univ., Shanghai, 201620, China)
         Zhigang Wu   (Donghua Univ., Shanghai, 201620, China)
         
Abstract: 
We consider space-time behaviors of smooth solutions for the radiative hydrodynamics
system with or without heat conduction in the whole space $\mathbb{R^}3$ 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].

Submitted March 2, 2023. Published September 15, 2023.
Math Subject Classifications: 35Q30, 35B40, 35Q35.
Key Words: Green's function; radiative hydrodynamics model; space-time estimate.