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The Compressible to Incompressible Limit of One Dimensional Euler Equations: The Non Smooth Case

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Abstract

We prove a rigorous convergence result for the compressible to incompressible limit of weak entropy solutions to the isothermal one dimensional Euler equations.

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Authors and Affiliations

  1. INDAM Unit, University of Brescia, Brescia, Italy

    Rinaldo M. Colombo

  2. Department of Mathematics and Applications, University of Milano-Bicocca, Milan, Italy

    Graziano Guerra

  3. Institute for Applied Analysis and Numerical Simulations, University of Stuttgart, Stuttgart, Germany

    Veronika Schleper

Authors
  1. Rinaldo M. Colombo
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  2. Graziano Guerra
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  3. Veronika Schleper
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Corresponding author

Correspondence to Rinaldo M. Colombo.

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Communicated by Constantine Dafermos

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Colombo, R.M., Guerra, G. & Schleper, V. The Compressible to Incompressible Limit of One Dimensional Euler Equations: The Non Smooth Case. Arch Rational Mech Anal 219, 701–718 (2016). https://doi.org/10.1007/s00205-015-0904-8

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  • DOI: https://doi.org/10.1007/s00205-015-0904-8

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