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 | |
| State | Published - Jun 3 2019 |
All Science Journal Classification (ASJC) codes
- Analysis
- Mathematics (miscellaneous)
- Mechanical Engineering
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Constantin, P., & Ignatova, M. (2019). On the Nernst–Planck–Navier–Stokes system. Archive for Rational Mechanics and Analysis, 232(3), 1379-1428. https://doi.org/10.1007/s00205-018-01345-6