华侨大学温振庶教授学术报告

报告题目: Dynamics of ionic flows via classical Poisson-Nernst-Planck models with multiple cations 

报告人：温振庶教授，华侨大学

报告时间：2024年6月9日周日上午 10:30-12:00

报告地点：博学楼506

报告摘要: We study dynamics of ionic flow by analyzing the effects from small permanent charges via a quasi-one-dimensional steady-state Poisson-Nernst-Planck system with multiple cations. Our study focuses on the PNP system for three ion species, two positively charged with the same valences and one negatively charged, with piecewise constant permanent charge. We treat the model as a boundary value problem of a singularly perturbed differential system. Our analysis is based on the geometric singular perturbation theory but, most importantly, on specific structures of this concrete model. The existence of solutions to the boundary value problem for small permanent charge is established, and treating the permanent charge as a small parameter, under electroneutrality conditions, we also derive an approximation of expressions of the individual fluxes and the current-voltage (I-V) relations explicitly, and this allows us to examine the small permanent charge effects and channel geometry on ionic flows in detail.

报告人简介：温振庶，华侨大学教授、硕士生导师，从事微分方程与动力系统及其应用方面的研究。2012年于华南理工大学数学学院获理学博士学位。2018年，受国家留学基金资助，赴美国新墨西哥矿业理工学院访学一年。先后主持国家自然科学基金多项，现主持国家自然科学基金面上项目1项，在Nonlinearity、Journal of Nonlinear Science、JDDE等SCI期刊发表论文40余篇。