Limit of a Consistent Approximation to the Complete Compressible Euler System

The goal of the present paper is to prove that if a weak limit consistent approximation scheme compressible complete Euler system in full space $ \mathbb{R}^d,\; d=2,3 solution then eventually approximate solutions converge strongly suitable norms locally under minimal assumption on initial data solutions. class quite general including vanishing viscosity and heat conductivity limit. In particular, they may not satisfy principle for entropy.