報告題目：Resonant modal approximation of time-domain elastic scattering from nano-bubbles in elastic materials
報告人：高憶先 教授 東北師範大學
報告時間：2023年6月20日 14:00-15:00
報告地點：正新樓201
校内聯系方式：fanyiou0@163.com
報告摘要：
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.
報告人簡介：
高憶先，東北師範大學教授、博士生導師。主要從事動力系統和散射、反散射問題的研究，相關研究成果發表在《Arch. Ration.Mech. Anal.》，《 J. Math. Pures Appl.》《SIAM J. Math.Anal.》，《 SIAM J. Appl. Math.》，《 J. Differential Equations》等國際權威雜志。
