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The Viscosity-Capillarity Criterion for Shocks and Phase Transitions

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The Breadth and Depth of Continuum Mechanics

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Abstract

This paper considers admissibility criteria for non-linear conservation laws based on (i) viscosity and (ii) capillarity and viscosity. It is shown by means of specific examples that while (ii) yields results consistent with experiment for materials exhibiting phase transitions, e. g. a van der Waals fluid, (i) does not.

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Author information

Authors and Affiliations

  1. Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, USA

    R. Hagan

  2. Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, New York, USA

    M. Slemrod

Authors
  1. R. Hagan
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  2. M. Slemrod
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Additional information

To Jerry Ericksen on the occasion of his 60th birthday

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© 1986 Springer-Verlag Berlin Heidelberg

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Hagan, R., Slemrod, M. (1986). The Viscosity-Capillarity Criterion for Shocks and Phase Transitions. In: The Breadth and Depth of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61634-1_6

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  • DOI: https://doi.org/10.1007/978-3-642-61634-1_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16219-3

  • Online ISBN: 978-3-642-61634-1

  • eBook Packages: Springer Book Archive

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