On convergence of approximate solutions to the compressible Euler system

  title={On convergence of approximate solutions to the compressible Euler system},
  author={E. Feireisl and M. Hofmanov{\'a}},
  journal={arXiv: Analysis of PDEs},
  • E. Feireisl, M. Hofmanová
  • Published 2019
  • Mathematics
  • arXiv: Analysis of PDEs
  • 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 not a weak solution of the associated Euler system. This is in sharp contrast to the incompressible case, where (oscillatory) approximate solutions may converge weakly to solutions of the… CONTINUE READING
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