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On convergence of approximate solutions to the compressible Euler system

On convergence of approximate solutions to the compressible Euler system

Abstract We consider a sequence of approximate solutions to the compressible Euler system admitting uniform energy bounds and/or satisfying the relevant field equations modulo an error vanishing in the asymptotic limit. We show that such a sequence either (i) converges strongly in the energy norm, or (ii) the limit is …