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Dynamic Effects in Gradient Theory for Fluid Mixtures

  • Conference paper
Shock Induced Transitions and Phase Structures in General Media

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 52))

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Abstract

We propose a new method to study motions of mixtures in fluid interfaces. We extend the equations of equilibrium in interfaces and the results associated with traveling waves for van der Waals like fluids [21]. The Maxwell rule is extended to interfaces of fluid mixtures out of equilibrium. Formula like the Clapeyron relation are obtained for isothermal layers.

This research was supported in part by the Institute for Mathematics and its Applications with funds provided by the National Science Foundation and in part by the French Foreign Office

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Author information

Authors and Affiliations

  1. Department of Mathematics and Mechanics, University of Aix-Marseille, Av. Escadrille Normandie Niemen, 13397, Marseille Cedex 13, France

    Henri Gouin

Authors
  1. Henri Gouin
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Editor information

Editors and Affiliations

  1. Numerical Mathematics Division # 1534, Sandia National Labs, P.O. Box 5800, 87184, Albuquerque, NM, USA

    J. E. Dunn

  2. Department of Aerospace Engineering and Mechanics, University of Minnesota, 55455, Minneapolis, MN, USA

    Roger Fosdick

  3. Department of Mathematics, University of Wisconsin, 53706, Madison, WI, USA

    Marshall Slemrod

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© 1993 Springer-Verlag New York, Inc.

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Gouin, H. (1993). Dynamic Effects in Gradient Theory for Fluid Mixtures. In: Dunn, J.E., Fosdick, R., Slemrod, M. (eds) Shock Induced Transitions and Phase Structures in General Media. The IMA Volumes in Mathematics and its Applications, vol 52. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8348-2_6

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  • DOI: https://doi.org/10.1007/978-1-4613-8348-2_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8350-5

  • Online ISBN: 978-1-4613-8348-2

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