  This work establishes nonlinear orbital asymptotic stability of scalar
radiative shock profiles, namely, traveling wave solutions to the simplified
model system of radiating gas \cite{Hm}, consisting of a scalar conservation
law coupled with an elliptic equation for the radiation flux. The method is
based on the derivation of pointwise Green function bounds and description of
the linearized solution operator. A new feature in the present analysis is the
construction of the resolvent kernel for the case of an eigenvalue system of
equations of degenerate type. Nonlinear stability then follows in standard
fashion by linear estimates derived from these pointwise bounds, combined with
nonlinear-damping type energy estimates.
