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A Review on Small Debye Length and Quasi-Neutral Limits in Macroscopic Models for Charged Fluids

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Dispersive Transport Equations and Multiscale Models

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 136))

Abstract

We consider macroscopic models for charged fluids of drift-diffusion and of hydrodynamic type. In both cases we study the small Debye length limit on different time scales. In certain scalings we end up in the quasi-neutral regime. The limits are performed and the limit problems are identified.

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Author information

Authors and Affiliations

  1. Fachbereich Mathematik, Universität Hamburg, Bundesstrasse 55, D-20146, Hamburg, Germany

    Ingenuin Gasser

Authors
  1. Ingenuin Gasser
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Editor information

Editors and Affiliations

  1. Laboratoire MIP, Université Paul Sabatier, Toulouse Cedex 4, 31062, France

    Naoufel Ben Abdallah  & Pierre Degond  & 

  2. Angewandte Mathematik, Universität des Saarlandes, Saarbrucken, D-66041, Germany

    Anton Arnold

  3. Department of Mathematics, University of Texas at Austin, Austin, TX, 78712, USA

    Irene M. Gamba

  4. Department of Mathematics, Indiana University, Bloomington, IN, 47405-5701, USA

    Robert T. Glassey

  5. CSCAMM, University of Maryland, College Park, MD, 20742-4015, USA

    C. David Levermore

  6. Department of Mathematics, Arizona State University, Tempe, AZ, 85287, USA

    Christian Ringhofer

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Gasser, I. (2004). A Review on Small Debye Length and Quasi-Neutral Limits in Macroscopic Models for Charged Fluids. In: Abdallah, N.B., et al. Dispersive Transport Equations and Multiscale Models. The IMA Volumes in Mathematics and its Applications, vol 136. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8935-2_7

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  • DOI: https://doi.org/10.1007/978-1-4419-8935-2_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6473-6

  • Online ISBN: 978-1-4419-8935-2

  • eBook Packages: Springer Book Archive

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