题目：Modeling and Analysis of Patterns in Multi-Constituent Systems with Long Range Interaction

报告人：王崇（美国Trinity University数学系助理教授）

时间：2021年4月8日上午10:00-12:00
地点：Zoom会议 会议号：937 7127 8549 密码：060312
Abstract: Skin pigmentation, animal coats and block copolymers can be considered as multi-constituent inhibitory systems. Exquisitely structured patterns arise as orderly outcomes of the self-organization principle. The free energy functional combines an interface energy favoring micro-domain growth with a Coulomb-type long range interaction energy which prevents micro-domains from unlimited spreading. Analytically, via the sharp interface model, we study the exact shape of global minimizers and also construct stable stationary sets. Numerically, via the diffuse interface model, one open question related to the polarity direction of double bubble assemblies is answered. Moreover, many quantitative results are proved both numerically and theoretically.
简介：王崇，美国Trinity University数学系助理教授。于2018年8月获美国乔治华盛顿大学博士学位，师从任晓峰教授。2018年9月至2021年1月，在加拿大McMaster University担任博士后研究员；2019年8月至12月，在美国Columbia University交流访问，合作导师为杜强教授。主要从事偏微分方程、数学模型、科学计算、数值分析以及高性能计算等方面的研究。主要成果发表在Indiana Univ. Math. J., Commun. Contemp. Math., Comm. Math. Sci., Discrete Contin. Dyn. Syst., Anal. Math. Phys.等重要学术期刊上。