Zu Chongzhi Research Seminar

Date and Time (China standard time): Saturday, July 11, 2:00 PM – 3:00 PM

Location: IB 1010

Zoom: 951 0049 8019, Passcode: dkumath

Title: Uniformly asymptotic solutions of Poisson-Nernst-Planck systems

Speaker: Dr. Xiang-Sheng Wang, University of Louisiana at Lafayette

Abstract: Poisson–Nernst–Planck (PNP) systems model ionic transport in membrane channels, where the potential is governed by charge balance and ionic fluxes arise from diffusion and electromigration. We derive a uniformly asymptotic formula for the steady-state solution of the one-dimensional PNP system with Dirichlet boundary conditions, and develop a corresponding formula for the time-dependent problem with arbitrary boundary ionic fluxes. In the dynamic case, a mismatch between Debye-layer storage and incoming fluxes generates an additional transient boundary layer that is wider than the Debye layer yet narrow relative to the domain.

Bio:  Dr. Xiang-Sheng Wang is an Associate Professor in the Department of Mathematics at the University of Louisiana at Lafayette. His research interests include asymptotic analysis, differential equations, and mathematical biology.