报告题目：Subwavelength resonances in elastic media with high contrast

报 告 人：高忆先，东北师范大学教授

主 持 人：陈锋

时 间：2025年10月30日15：00

地 点：图书馆会议室

主办单位：长春大学数学与统计学院

摘要：This work employs layer potential techniques to investigate wave scattering in elastic media exhibiting high contrasts in both Lam\'{e} parameters and density. Our contributions are fourfold. First, we construct an invertible operator based on the kernel spaces of boundary integral operators, which enables the characterization of resonant frequencies through an orthogonality condition. Second, we use asymptotic analysis to derive the equation governing the leading-order terms of these resonant frequencies. Third, we analyze the scattered field in the interior domain for incident frequencies across different regimes and characterize the longitudinal and transverse far-field patterns in the exterior domain. Finally, we examine the subwavelength bandgap in the phononic crystal with a dilute structure.

报告人简介：高忆先，东北师范大学教授、博士生导师。2009年博士毕业于吉林大学，主要从事数学物理反问题和动力系统的研究。部分成果发表在Arch. Ration.Mech. Anal.，J. Math. Pures Appl., Appl. Comput. Harmon. Anal.，SIAM 系列等国际权威杂志。