Mathematical models for the deformation of electrolyte droplets

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36 Scopus citations

Abstract

Using phase field methods, we introduce a penalty formulation for restricting the support of solutions of the hydrodynamic Poisson-Nernst-Plank equations to evolving subregions of the domain. The formulation is derived through variational principles from a free energy involving the phase field and electrostatic energy. We validate the model by energetic arguments and several dynamic, finite element simulations of the (linear) Navier-Stokes, Poisson-Nernst-Plank and Allen-Cahn system.

Original languageEnglish (US)
Pages (from-to)649-661
Number of pages13
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume8
Issue number3
DOIs
StatePublished - Oct 2007

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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