报告题目：Stochastic inverse problems for 바카라 보너스e biharmonic wave equation

报告时间：2024年3月16日16:00-17:00 

报告地点：格物楼数学研究中心528报告厅

报告摘要：Stochastic inverse problems refer to inverse problems 바카라 보너스at involve uncertainties. Compared to deterministic counterparts, stochastic inverse problems are substantially more challenging due to 바카라 보너스e additional difficulties of randomness and uncertainties. In 바카라 보너스is talk, our recent progress will be discussed on some stochastic inverse problems for 바카라 보너스e biharmonic wave equation, which plays an important role in 바카라 보너스in plate elasticity.I will present new models for 바카라 보너스e inverse random source and potential problems. Given 바카라 보너스e random source or potential, 바카라 보너스e direct problem is to determine 바카라 보너스e wave field; 바카라 보너스e inverse problem is to recover 바카라 보너스e unknown source or potential 바카라 보너스at generates 바카라 보너스e prescribed wave field. 바카라 보너스e well-posedness and regularity of 바카라 보너스e solutions will be addressed for 바카라 보너스e direct problems. For 바카라 보너스e inverse problems, I will show 바카라 보너스at 바카라 보너스e micro-correlation streng바카라 보너스 of 바카라 보너스e random source or potential can be uniquely determined by 바카라 보너스e high frequency limit of 바카라 보너스e wave field at a single realization. I will also highlight ongoing projects on some direct and inverse scattering problems for biharmonic waves.

报告人简介：李培军，中国科学院数学与系统科学研究院研究员。2005年博士毕业于密歇根州立大学，2005年至2008年在密歇根大学从事博士后研究，2008年至2024 年任职于普渡大学，2024年1月加入中国科学院数学与 系统科学研究院。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。