On the Nernst–Planck–Navier–Stokes system

Peter Constantin, Mihaela Ignatova

Research output: Contribution to journalArticlepeer-review

37 Scopus citations


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
Issue number3
StatePublished - Jun 3 2019

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering


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