On the Nernst–Planck–Navier–Stokes system

Peter Constantin; Mihaela Ignatova

doi:10.1007/s00205-018-01345-6

On the Nernst–Planck–Navier–Stokes system

Peter Constantin, Mihaela Ignatova

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 language	English (US)
Pages (from-to)	1379-1428
Number of pages	50
Journal	Archive for Rational Mechanics and Analysis
Volume	232
Issue number	3
DOIs	https://doi.org/10.1007/s00205-018-01345-6
State	Published - Jun 3 2019

All Science Journal Classification (ASJC) codes

Analysis
Mathematics (miscellaneous)
Mechanical Engineering

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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.",

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AB - 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.

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