WIAS Preprint No. 1730, (2012)

Overcoming the shortcomings of the Nernst--Planck model


  • Dreyer, Wolfgang
  • Guhlke, Clemens
  • Müller, Rüdiger
    ORCID: 0000-0003-2643-722X

2010 Mathematics Subject Classification

  • 35Q35 76T30 65N22

2008 Physics and Astronomy Classification Scheme

  • 82.45.Gj


  • electrolyte, equilibrium, modeling, asymptotic analysis, numerical method


This is a study on electrolytes that takes a thermodynamically consistent coupling between mechanics and diffusion into account. It removes some inherent deficiencies of the popular Nernst-Planck model. A boundary problem for equilibrium processes is used to illustrate the new features of our model.

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