报告题目: Stochastic inverse problems for the biharmonic wave equation
报告专家：李培军研究员
报告时间：2024年5月22日（周三）下午15:30-17:30
报告地点：南教1-120报告厅
报告摘要: 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.
报告专家简介: 李培军，中国科学院数学与系统科学研究院研究员，国家高层次人才支持计划入选者。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，先后在普渡大学、中国科学院数学与系统科学研究院任教。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。在《SIAM J. Numer. Anal.》、 《Math. Comput.》、《Arch. Ration. Mech. Anal.》、《Commun. Partial Differential Equations》、《J. Math. Pures Appl.》等期刊上发表论文百余篇。
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