L-Stability of Constants in a Model for Radiating Gases

Abstract

In previous work, the L-stability of constant states in a model of radiative gases, under a zero-mass initial disturbance, was often left open. Actually, it was proved only for the Burgers flux and odd inital data which were non-negative on R⁺. We now prove this stability in full generality. This result is used, as usual, to prove the L-stability of shock profiles.