Analytical approaches to charge transport in a moving medium

Joseph W. Jerome*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

50 Scopus citations

Abstract

We consider electrodiffusion in an incompressible electrolyte medium which is in motion. The Cauchy problem is governed by a coupled Navier-Stokes/Poisson-Nernst-Planck system. We prove the existence of a unique smooth local solution for smooth initial data, with nonnegativity preserved for the ion concentrations. We make use of semigroup ideas, originally introduced by T. Kato in the 1970s for quasi-linear hyperbolic systems. The time interval is invariant under the inviscid limit to the Euler/Poisson-Nernst-Planck system.

Original languageEnglish (US)
Pages (from-to)333-366
Number of pages34
JournalTransport Theory and Statistical Physics
Volume31
Issue number4-6
DOIs
StatePublished - 2002

Keywords

  • Electrodiffusion in a moving electrolyte
  • Navier Stokes systems
  • Poisson-Nernst Planck systems
  • Resolvent stability
  • Semigroups of operators

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Transportation
  • Physics and Astronomy(all)
  • Applied Mathematics

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