报告简介：
    Ion channel problems concern macroscopic properties of ionic flow through nano-scale ion channels. It is no coincidence that singularly perturbed systems serve as suitable models for analyzing these multi-scale problems. The generalframework of singular perturbations often reveals special structures (idealized physical situations) of multi-scale phenomena and allows one to extract concrete information for specic problems. This is the case for the Poisson-Nernst-Plank (PNP) systems as primitive models for ionic flows.
In this talk, we will describe the geometric singular perturbation framework for an analysis of PNP systems and report a number of concrete results that are directly relevant to central topics of ion channel problems. The talk will be based on works with several collaborators.

报告人简介：
    刘为世，University of Kansas，数学系教授，研究方向:
(1) Nonlinear dynamics, Center manifold theory for general invariant sets
(2)Geometric singular perturbation theory for turning points
(3) Electrodiusion and ion channel problems
代表性论文发表在《J. Dynam. Differential Equations》《J. Diff. Equations》《SIAM J. Appl. Dyn. Syst.》《SIAM J. Appl. Math.》《Commun. Math. Sci.》等著名数学杂志上