  We introduce the concept of dissipative measure-valued solution to the
complete Euler system describing the motion of an inviscid compressible fluid.
These solutions are characterized by a parameterized (Young) measure and a
dissipation defect in the total energy balance. The dissipation defect
dominates the concentration errors in the equations satisfied by the Young
measure. A dissipative measure-valued solution can be seen as the most general
concept of solution to the Euler system retaining its structural stability. In
particular, we show that a dissipative measure-valued solution necessarily
coincides with a classical one on its life span provided they share the same
initial data.
