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Shock-free Solutions of the Compressible Euler Equations

Analysis of PDEs 2012-04-03 v1

Abstract

We study the structure of shock-free solutions of the compressible Euler equations with large data. We describe conditions under which the Rarefactive/Compressive character of solutions changes, and conditions under which the vacuum is formed asymptotically. We present several new examples of shock-free solutions, which demonstrate a large variety of behaviors.

Keywords

Cite

@article{arxiv.1204.0460,
  title  = {Shock-free Solutions of the Compressible Euler Equations},
  author = {Geng Chen and Robin Young},
  journal= {arXiv preprint arXiv:1204.0460},
  year   = {2012}
}

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35 pages