For an n-species Poisson-Nernst-Planck system with steric cross-diffusion, the paper proves global weak solutions exist, weak and strong solutions agree, and solutions decay exponentially to equilibrium under pure Neumann boundary conditions.
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Analysis of a Poisson-Nernst-Planck cross-diffusion system with steric effects
For an n-species Poisson-Nernst-Planck system with steric cross-diffusion, the paper proves global weak solutions exist, weak and strong solutions agree, and solutions decay exponentially to equilibrium under pure Neumann boundary conditions.