  We construct two particular solutions of the full Euler system which emanate
from the same initial data. Our aim is to show that the convex combination of
these two solutions form a measure-valued solution which may not be
approximated by a sequence of weak solutions. As a result, the weak* closure of
the set of all weak solutions, considered as parametrized measures, is not
equal to the space of all measure-valued solutions. This is in stark contrast
with the incompressible Euler equations.
