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学术时间轴

Hearing the shape of a drum revisited

Abstract

A famous inverse problem posed by M Kac 'Can one hear the shape of a drum?' is concerned with isospectrality of a drum. The first counterexample was constructed by Gordon, Webb and Wolpert (1992 Invent. Math. 110 1). In this talk we shall further discuss this inverse problem and show that the shape of a convex drumhead can be uniquely recovered from time-dependent acoustic wave signals recorded at multiple sensors that are located around the drum. Some numerical examples will also be shown.

 

Short bio

胡广辉,现任南开大学数学科学学院科学工程与计算系教授。2009年获中国科学院数学与系统科学研究院博士学位。2009至2016年在德国莱布尼茨协会维尔斯特拉斯研究所做博士后工作,2012至2015年独立主持德国研究协会科研项目。2016年3月份入选国家海外高层次青年人才计划,2016.09-2020.05就工作于北京计算科学研究中心,2020年3月份获得德国洪堡资深学者奖学金。胡广辉博士主要从事波方程的数学理论研究和偏微分方程反问题及其计算方法研究,目前已发表学术论文70余篇。