报告题目: Inverse Random Source Problems for Wave Equations

报告人：李培军教授（美国普渡大学）

报告时间：2021年12月03日（周五） 上午10:00-11:00

报告地点：浙江工业大学理学楼二楼师生活动中心

报告摘要：

In this talk, our recent progress will be discussed on inverse source problems for the stochastic wave equations. I will present a new model for the random source, which is assumed to be a microlocally isotropic Gaussian random field such that its covariance operator is a classical pseudo-differential operator. The well-posedness and regularity of the solution will be addressed for the direct problem. For the inverse problem, it is shown that the principal symbol of the covariance operator can be uniquely determined by the high frequency limit of the wave field at a single realization. I will also highlight some ongoing and future projects in the inverse random potential and medium problems.

专家简介：  

李培军教授，2005年毕业于美国密西根州立大学获博士学位,现任美国普渡大学数学系教授。主要从事科学计算、数值分析和偏微分方程反问题等工作,特别是光学、电磁学和波动方程中正反散射问题的研究。先后主持了多项美国国家自然科学基金项目,发表论文100余篇。曾获美国国家自然科学基金杰出奖项(NSF Career Award)及2015年度Calderon Prize。

邀请人：李晓菲