On the Nernst–Planck–Navier–Stokes system

Peter Constantin, Mihaela Ignatova

Research output: Contribution to journalArticle

Abstract

We consider ionic electrodiffusion in fluids, described by the Nernst–Planck–Navier–Stokes system in bounded domains, in two dimensions, with Dirichlet boundary conditions for the Navier–Stokes and Poisson equations, and blocking (vanishing normal flux) or selective (Dirichlet) boundary conditions for the ionic concentrations. We prove global existence and stability results for large data.

Original languageEnglish (US)
Pages (from-to)1379-1428
Number of pages50
JournalArchive for Rational Mechanics and Analysis
Volume232
Issue number3
DOIs
StatePublished - Jun 3 2019

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

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