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关于美国新墨西哥矿业理工学院张明吉副教授来校讲学的通知


应数学与计算科学学院及广西高校数据分析与计算重点实验室邀请,美国新墨西哥矿业理工学院张明吉副教授将于2019年7月5日来校讲学,欢迎全校师生踊跃参加。报告具体安排如下:

主讲人:张明吉副教授

时间2019年7月5日(周五)上午10:00

地点:金鸡岭校区3108

题目Qualitative properties of ionic flows via steady-state Poisson-Nernst-Planck systems. Part I: Small permanent charge effects on current-voltage relations.

摘要:We analyze a quasi-one-dimensional steady-state Poisson-Nernst-Planck model for ionic flows through a membrane channel with nonzero but small permanent charge. The system involves three ion species, two positively charged with the same valences and one negatively charged. We treat the model as a boundary value problem of a singularly perturbed differential system. Under the framework of geometric singular perturbation theory, together with specific structures of this concrete model, the existence and local uniqueness of solutions to the boundary value problem is established. In particular, treating the permanent charge as small parameter, under electroneutrality conditions, we are able to derive an approximation of the I-V (current-voltage) relation, from which the effects on ionic flows from the small permanent charge are analyzed in great detail. Critical potentials are identified and their roles in characterizing permanent charge effects are carefully studied.

主讲人概况:

Mingji Zhang (张明吉),副教授,博士生导师,目前就职于美国新墨西哥矿业理工学院。2013年毕业于美国堪萨斯大学,获理学博士学位;2013-2015年跟随著名数学家 Peter W. Bates 在密歇根州立大学做博士后研究。研究方向为非线性动力系统,微分方程及其应用,特别是在离子通道问题 (Ion Channel Problem)和发展生物学(developmental biology)中的应用。研究的主要工具是在非线性动力系统不变流形理论上发展起来的几何奇异摄动理论。在研究离子通道问题中,特别是对离子流的动力学行为的研究,做出了重要贡献。已在《J. Differential Equations》,《J. Dynamics and Differential Equations》,《SIAM J. Applied Mathematics》, 《SIAM J. Applied  Dynamical  Systems》,《Communications in Mathematical Sciences》,《Discrete and Continuous Dynamical Systems-A》等国际著名期刊发表论文近30篇。美国《数学评论》评论员,SIAM J. Applied Mathematics, Discrete and Continuous Dynamical System-A等杂志审稿人。




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