报告题目：Neutral inclusions, an overdetermined problem for confocal ellipsoids, and more

报 告 人：Hyeonbae Kang

报告时间：2024年9月5日  10:00-11:00

报告地点：格物楼528

报告摘要：

An inclusion is said to be neutral to uniform fields if upon insertion into a homogeneous medium with a uniform field it does not perturb the uniform field at all. It is said to be weakly neutral if it perturbs the uniform field mildly. Such inclusions are of interest in relation to invisibility cloaking and effective medium theory. There have been some attempts lately to construet or to show existence of such inclusions in the form of core-shell structure or a single inclusion with the imperfect bonding parameter attached to its boundary. In this talk we review recent progress in such attempts. We also discuss the over-determined problem for confocal ellipsoids which is closely related with the neutral inclusion problem, and its equivalent formulation in terms of Newtonian potentials. We will also talk about recent applications to stress estimate on a biological body.

报告人简介：

Hyeonbae Kang，韩国科学技术院院士，仁荷大学数学系Jungseok讲座教授，2014年国际数学家大会（2014 International Congress of Mathematicians）组委（执委）成员和竞选委员会成员。Kang教授本科和硕士分别于1982年和1984年毕业于首尔国立大学，1989年获得美国威斯康星大学-麦迪逊分校的数学博士学位。曾担任首尔国立大学教授、通识教育院副院长，韩国数学会秘书长，2008年加入韩国仁荷大学数学系任Jungseok讲座教授，2011年至今担任应用数学所所长。其主要研究领域包括复合材料中的偏微分方程，反问题及数学成像，谱分析，渐进分析等，在复合材料中的Babuska问题方面做出了许多重要的工作。Kang教授曾获韩国科学奖（总统奖）、韩国最佳研究论文奖，最佳学术成就奖等荣誉。