"

台湾宾果直营

"

西安交通大学杨家青教授学术报告

发布时间:2022年06月30日 作者:邓又军   阅读次数:[]

报告人:杨家青 教授(西安交通大学)

题目:Uniqueness for inverse transmission problems with a conductivity boundary condition

会议时间:2022/07/04 14:00-16:00 (GMT+08:00)中国标准时间-北京

https://meeting.tencent.com/dm/TII9CdEj5n65

#腾讯会议:190-560-164

摘要:

This talk is concerned with the inverse scattering of time-harmonic acoustic waves by a bounded penetrable obstacle with a conductive boundary, which may contain embedded objects inside. We proved the well-posedness of the transmission problem with L^p boundary data, and illustrate in detail the singularity of solutions corresponding to a family of incident point sources or hypersingular point sources. With these results, we proposed a novel technique to prove that the penetrable obstacle can be uniquely recovered by the acoustic far-field pattern at a fixed frequency, ignoring its contents. Moreover, the physical coefficients appearing in the mathematical model can also be uniquely determined at the boundary of the penetrable obstacle.

报告人简介:

杨家青,西安交通大学数学与统计学院教授,研究方向为反问题的数学理论与计算方法。在Inverse Problems, SIAM J. Appl. Math., SIAM J. Numer. Anal., SIAM J. Sci. Comput., SIAM J. Imag. Sci., JCP, JDE等国际期刊发表学术论文30余篇。2017年入选陕西省百人计划青年项目;2018年获得中国工业与应用数学学会“应用数学青年科技奖”;2021年获得国家自然科学基金优秀青年科学基金资助。



打印】【收藏】 【关闭

台湾宾果直营