Hilbert Expansion of the coupled radiation-Euler in the equilibrium regime

Abstract

In this paper, we establish the validity of the Hilbert expansion for the coupled radiation-Euler model with non-relativistic source term for general initial data on the torus ${\mathbb{T}}^3$, which leads to the simplified equilibrium-diffusion limit and the initial layer corrections for the radiation intensity coupled with the temperature.

arXiv comment51 pages