  We introduce the concept of stochastic measure-valued solutions to the
complete Euler system describing the motion of a compressible inviscid fluid
subject to stochastic forcing, where the nonlinear terms are described by
defect measures. These solutions are weak in the probabilistic sense
(probability space is not a given `priori', but part of the solution) and
analytical sense (derivatives only exists in the sense distributions). In
particular, we show that: existence, weak-strong principle; a weak
measure-valued solution coincides with a strong solution provided the later
exists, all hold true provided they satisfy some form of energy balance.
Finally, we show the existence of strong Markov selection to the associated
martingale problem.
