Existence, uniqueness and regularity of nonequilibrium steady states in multispecies ion transport
Abstract
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.
Fields of Study & Subjects
Membrane-based Ion Separation Techniques
Advanced Thermodynamics and Statistical Mechanics
stochastic dynamics and bifurcation
Publication details
- Journal / source
- Nonlinear Analysis Real World Applications
- Volume
- 91
- Pages
- 104598–104598
- Publication date
- 3 January 2026
- Language
- EN