报告题目：Inverse Source Problems for Stochastic Wave Equations

报告时间：2021年5月26日，星期三，上午9:00-10:30

腾讯会议号：408 638 600

报告人：李培军教授，美国普渡大学

报告摘要：

The inverse source problem, as an important research subject in the inverse scattering theory, has significant applications in diverse scientific and industrial areas such as antenna design and synthesis, medical imaging, and optical tomography. The inverse random source problem refers to the inverse source problem that involves uncertainties, which is substantially more challenging due to the additional difficulties of randomness and uncertainties. In this talk, our recent progress on inverse source problems for the stochastic wave equations will be introduced. The random source is assumed to be a microlocally isotropic Gaussian random field such that its covariance operator is a classical pseudo-differential operator. Given the random source, the direct problem is to determine the wave field; the inverse problem is to recover the unknown source that generates the prescribed radiated wave field. 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 of the random source can be uniquely determined by the high frequency limit of the wave field at a single realization. I will also highlight ongoing projects in potential and medium problems for the stochastic wave equations.

报告人简历：

    李培军，美国普渡大学数学系教授，2005年于美国密西根州立大学获得博士学位。其主要科学计算、数值和数学分析、反问题及偏微分方程应用等研究。具体领域包括偏微分方程反问题理论及计算，声波、弹性波及电磁波在复杂和随机介质中的散射和反散射问题。

腾讯会议信息：

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会议时间：2021/05/26 09:00-11:00 (GMT+08:00) 中国标准时间 - 北京

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会议 ID：408 638 600