Global weak solutions to the Euler-Boltzmann equations in radiation hydrodynamics

Abstract

The Cauchy problem for the one-dimensional Euler-Boltzmann equations in radiation hydrodynamics is studied. The global weak entropy solutions are constructed using the Godunov finite difference scheme. The global existence of weak entropy solutions in L ∞ L^\infty with arbitrarily large initial data is established with the aid of the compensated compactness method.