Speaker: Prof. Peijun Li（李培军教授）

Time: 11:00-12:00, 29 May 2024 (Wednesday) (Beijing time)

Venue: 华信书院，CC126

Tencent meeting ID: 348-930-035

Abstract

Stochastic inverse problems refer to inverse problems that involve uncertainties. Compared to deterministic counterparts, stochastic inverse problems are substantially more challenging due to the additional difficulties of randomness and uncertainties. In this talk, our recent progress will be discussed on some stochastic inverse problems for the biharmonic wave equation, which plays an important role in thin plate elasticity. I will present new models for the inverse random source and potential problems. The well-posedness and regularity of the solutions will be addressed for the direct problems. For the inverse problems, I will show that the micro-correlation strength of the random source or potential can be uniquely determined by the high frequency limit of the wave field at a single realization.

About Prof. Li

李培军，中国科学院数学与系统科学研究院研究员。2005博士毕业于密歇根州立大学，主要从事偏微分方程反问题、波动方程散射和反散射问题的理论、算法与应用研究。