Existence, uniqueness and regularity of nonequilibrium steady states in multispecies ion transport
We consider the steady state Nernst-Planck system for multiple species with nonequilibrium boundary conditions, describing electrodiffusion of ions or charged particles. We show the existence and regularity of solutions and also establish a sufficient condition for uniqueness.
Authors
- Fizay-Noah Lee (ORCID: https://orcid.org/0000-0002-9769-1324)
Institutions
- Vanderbilt University (US)
Publication Details
- Journal
- Nonlinear Analysis Real World Applications
- Published
- 2026-01-03
- DOI
- https://doi.org/10.1016/j.nonrwa.2025.104598
- Primary Topic
- Membrane-based Ion Separation Techniques
- Type
- article
- Field-Weighted Citation Impact
- 0.00