报告题目：Approximation of obstacle boundary conditions of a transmission problem

报告人：胡跃光 博士

报告时间：2026年11月16日10:00---11:00

报告地点：腾讯会议，会议ID：961-926-529

校内联系人：马世琪 [email protected]

报告摘要：This talk is concerned about the identification of acoustic boundary conditions for high-contrast inhomogeneous inclusions embedded in a background medium. In modeling acoustic wave propagation in high-contrast materials, it is both physically reasonable and mathematically convenient to approximate the penetrable inclusion by an impenetrable obstacle equipped with appropriate boundary conditions. Such a replacement simplifies the mathematical analysis and numerical computation by obviating the need to consider the field inside the inclusion. This approach is particularly pertinent when the obstacle serves as a sufficiently accurate approximation of the high-contrast inclusion. We provide a rigorous mathematical characterization that justifies the obstacle approximation to the high-contrast inclusion.

报告人简介：

胡跃光博士现任清华大学丘成桐数学科学中心博士后研究员。在此之前，他于2025年在香港城市大学获得博士学位。他的研究方向包括反问题、电磁波散射理论和椭圆能量估计问题等。目前他已在SIAM应用数学杂志(SIAP)、应用数学研究(SAPM)、微分方程杂志(JDE)等诸多知名国际期刊上发表了多篇论文。