报告题目：Inverse Random Source Problems for Wave Equations

报告人：王旭 副研究员 中科院计算数学与科学工程计算研究所

报告时间：2021年12月6日 18：30-19：00

报告地点：腾讯会议 会议 ID：202 735 644   会议密码：无

校内联系人：柴世民 chaism@jlu.edu.cn

报告摘要：In this talk, inverse random source problems for acoustic and electromagnetic waves will be introduced. The unknown random source is assumed to be a microlocally isotropic Gaussian random field with its covariance operator being a classical pseudo-differential operator. The well-posedness of the direct problem in the distribution sense as well as the regularity of the solution is given for the case that the random source is extremely rough and should be interpreted as a distribution. The strength of the random source, involved in the principal symbol of its covariance operator, is shown to be uniquely determined by a single realization of the magnitude of the wave field averaged over the frequency band with probability one.

报告人简介：王旭，中科院计算数学与科学工程计算研究所优秀青年副研究员，2018年博士毕业于中科院，2018-2021在美国普度大学进行访问。主要从事随机偏微分方程的反问题，随机偏微分方程的数值方法研究。