吉林市快三走势图:A classical Poisson-Nernst-Planck model for ionic flow
查吉林十一选五走势图 www.fgxj.net 来源：复旦大学数学科学学院 | 2019-06-25 | 发布：经管之家
报告题目： A classical Poisson-Nernst-Planck model for ionic flow报 告 人：徐洪国教授报告人所在单位：Department of Mathematics, University of Kansas报告日期：2019-07-04 星期四报告时间：15:30-16:30报告地点：光华东主楼1801报告摘要：
Ion channels are small holes embedded in cell membranes. They open and close to control the flow of ions. In this way, cells function properly. Poisson-Nernst-Planck (PNP) model is a mathematical model commonly used to study ionic flow. In this talk, a classical PNP model is considered. We show that the system has a unique solution. The proof is constructive. With singular perturbation analysis the problem is reduced to an inverse problem of a first order linear system with boundary conditions. Then with the help of matrix theory, it is further reduced to a root problem of a meromorphic function, which is solved by Cauchy Argument Principle. We show how matrix eigenvalue theory is used in solving the problem.