广州数学大讲坛第七期
第六十一讲——香港中文大学(深圳)陈元助理教授学术报告
题目:Interface dynamics arising from the strongly functionalized Cahn-Hilliard flow
时间:2023年09月12日(周二)下午14:00-16:20
地点:腾讯会议(会议ID:447-287-032)
报告人:陈元 助理教授
摘要:In this talk, I will start with some background of the mass preserving $L^2$-gradient flow of the strong scaling of the functionalized Cahn Hilliard gradient flow which models amphiphilic material. Some established works, joint with Keith Promislow, will then be introduced. In particular, we construct and establish the nonlinear stability of a manifold, comprised of quasi-equilibrium bilayer, up to its boundary. We also identify open sets of initial data whose orbits converge to a circular equilibrium after a significant transient, and derive a singularly perturbed interfacial evolution comprised of motion against curvature regularized by an asymptotically weak Willmore term. Some potential projects will also be discussed if time permits.
报告人简介:
陈元,香港中文大学(深圳)理工学院助理教授,2014年本科毕业于厦门大学,并于2018年在香港中文大学获得博士在2021年8月加入香港中文大学(深圳)之前,她是密歇根州立大学的博士后,主要研究方向是偏微分方程及其应用,特别是某些材料与生物学中偏微分方程解的性质。