• DOI:10.1007/s40818-020-00086-8
Corpus ID: 209531817

On convergence of approximate solutions to the compressible Euler system

@article{Feireisl2019OnCO,
  title={On convergence of approximate solutions to the compressible Euler system},
  author={E. Feireisl and M. Hofmanov{\'a}},
  journal={arXiv: Analysis of PDEs},
  year={2019}
}

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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