On the Nernst-Planck-Navier-Stokes system
Analysis of PDEs
2018-12-26 v1
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.
Cite
@article{arxiv.1806.11400,
title = {On the Nernst-Planck-Navier-Stokes system},
author = {Peter Constantin and Mihaela Ignatova},
journal= {arXiv preprint arXiv:1806.11400},
year = {2018}
}