Mathematical models for the deformation of electrolyte droplets

Research output: Contribution to journalArticle

31 Citations (Scopus)

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
StatePublished - Oct 1 2007

Fingerprint

Phase Field
Electrolyte
Droplet
Free energy
Electrostatics
Siméon Denis Poisson
Hydrodynamics
Electrolytes
Mathematical Model
Mathematical models
Formulation
Finite Element Simulation
Navier-Stokes
Variational Principle
Penalty
Free Energy
Energy
Model

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Cite this

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Mathematical models for the deformation of electrolyte droplets. / Ryham, Rolf; Liu, Chun; Zikatanov, Ludmil Tomov.

In: Discrete and Continuous Dynamical Systems - Series B, Vol. 8, No. 3, 01.10.2007, p. 649-661.

Research output: Contribution to journalArticle

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