$L^1$-Stability of Constants in a Model for Radiating Gases

In previous work, the $L^1$-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 $L^1$-stability of shock profiles.

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Published 1 January 2003