报告题目：On recovery of an elastic body by electromagnetic far-field measurements

报 告 人：杨家青 副教授 西安交通大学

照    片：

邀 请 人：李芳，李善兵

报告时间：2020年10月27日（周二） 11：00-12：00

腾讯会议ID：295 314 322

报告人简介：杨家青，副教授，2012年在中国科学院数学与系统科学研究院获得博士学位，2012年至2014年在中国科学院系统科学研究所从事博士后研究工作，2014年至2015年在香港中文大学做“Research Fellow”，2015年6月至今入职西安交通大学为副教授。主要研究领域为反问题的数学理论与计算。迄今为止，已在Inverse Problems, SIAM J. Appl. Math, SIAM J. Numer. Anal, SIAM J. Imag. Sci., J. Differential Equations等国际权威期刊发表学术论文24篇。

报告摘要： This talk is concerned with the problem of scattering of a time-harmonic electromagnetic field by a three-dimensional elastic body. General transmission conditions are formulated to model the interaction between the electromagnetic field and the elastic body on the interface by assuming Voigt’s model. The existence of a unique solution of the interaction problem is proved in an appropriate Sobolev space by employing a variational method together with the classical Fredholm alternative. The inverse problem is then considered, which is to recover the elastic body by the scattered wave-field. It is shown that the shape and location of the elastic body can be uniquely de- termined by the fixed energy magnetic (or electric) far-field measurements corresponding to incident plane waves with all polarizations.