报告题目：Resonant modal approximation of time-domain elastic scattering from nano-bubbles in elastic materials

报告人：高忆先 教授 东北师范大学

报告时间：2023年6月20日 14:00-15:00

报告地点：正新楼201

校内联系方式：fanyiou0@163.com

报告摘要：

This talk is devoted to establishing the resonant modal expansion of the low-frequency part of the scattered field for acoustic bubbles embedded in elastic materials in the time domain. Due to the nano-bubble with damping, Minnaert resonance can be induced at certain discrete resonant frequencies, which forms the fundamental basis of effectively constructing elastic metamaterials via the composite material theory. There are two major contributions in this work. First, we ansatz a special form of the density, approximate the incident field

with a finite number of modes, and then obtain an expansion with a finite number of modes for the acoustic-elastic wave scattering in the time-harmonic regime. Second, we show that the low-frequency part of the scattered field in the time domain can be well approximated by using the resonant modal expansion with sharp error estimates. Interestingly, we find that the 0-th mode is the main contribution to the resonant modal expansion.

报告人简介：

高忆先，东北师范大学教授、博士生导师。主要从事动力系统和散射、反散射问题的研究，相关研究成果发表在《Arch. Ration.Mech. Anal.》，《 J. Math. Pures Appl.》《SIAM J. Math.Anal.》，《 SIAM J. Appl. Math.》，《 J. Differential Equations》等国际权威杂志。