  For the system of polyconvex adiabatic thermoelasticity, we define a notion
of dissipative measure-valued solution, which can be considered as the limit of
a viscosity approximation. We embed the system into a symmetrizable hyperbolic
one in order to derive the relative entropy. However, we base our analysis in
the original variables, instead of the symmetric ones (in which the entropy is
convex) and we prove measure- valued weak versus strong uniqueness using the
averaged relative entropy inequality.
