报告题目：Asymptotic analysis for the wave equation with applications

报 告 人： 王海兵

报告时间：2024年3月25日14:00-15:00

报告地点：格物楼数学研究中心528报告厅

报告摘要：：In this talk, we show our recent results on asymptotic analysis for the wave equation, and then discuss their applications. First, we consider the time-domain wave scattering by a cluster of small sound-soft obstacles. We derive the asymptotic expansion of the solution as the size of the holes goes to zero. A rigorous justification
of the asymptotic expansion is shown under natural conditions on the cluster of holes.Its application to the effective medium theory is also discussed. Second, we consider a time-domain wave equation model with small high contrast particles. We show the asymptotic expansion of the solution, and then apply it to an inverse source problem.
Finally, we extend the above result to the locally variable wave speed case. By injecting high contrast particles inside the domain to image, we reconstruct not only the source function but also the variable wave speed.

报告人简介：王海兵，东南大学教授，博士研究生导师，主要从事数学物理反问题的研究。2012 年获得北海道大学和东南大学的理学博士学位。现任中国数学会计算数学分会常务理事。目前正主持一项国家自然科学基金面上项目，代表性研究成果发表于SIAM 系列，IP, JDE, JCP 等学术刊物。