Poisson–Nernst–Planck (PNP) models constitute a cornerstone in the mathematical description of ionic transport and electrostatic interactions in diverse physical and biological systems. These models ...
Boundary value problems of a one-dimensional steady-state Poisson-Nernst-Planck (PNP) system for ion flow through a narrow membrane channel are studied. By assuming the ratio of the Debye length to a ...
The Nernst Equation is crucial in the evolution of electrochemical devices like batteries; however, it only applies when there is no current flow. There is presently no theory that can quantitatively ...
SIAM Journal on Applied Mathematics, Vol. 53, No. 2 (Apr., 1993), pp. 419-439 (21 pages) Steady-state systems of coupled nonlinear transport equations are considered with boundary conditions ...
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