  We study nonlinear time-asymptotic stability of small--amplitude planar Lax
shocks in a model consisting of a system of multi--dimensional conservation
laws coupled with an elliptic system. Such a model can be found in context of
dynamics of a gas in presence of radiation. Our main result asserts that the
standard uniform Evans stability condition implies nonlinear stability. The
main analysis is based on the earlier developments by Zumbrun for
multi-dimensional viscous shock waves and by
Lattanzio-Mascia-Nguyen-Plaza-Zumbrun for one--dimensional radiative shock
profiles.
