A high-contrast composite with annular inclusions: Norm-resolvent asymptotics

Yi Sheng Lim

Research output: Contribution to journalArticlepeer-review

Abstract

We investigate the operator-norm resolvent asymptotics of a high-contrast composite, consisting of a “stiff” material, with annular “soft” inclusions (a “stiff-soft-stiff” setup). This setup is derived from two models with very different effective wave propagation behaviours. Our analysis is based on an operator-framework proposed by Cherednichenko, Ershova, and Kiselev in [15]. Then, as a first step towards studying wave propagation on the stiff-soft-stiff composite, we use the effective description to derive analogous “dispersion functions”.

Original languageEnglish
Article number128462
JournalJournal of Mathematical Analysis and Applications
Volume539
Issue number1 (Part1)
Early online date29 Apr 2024
DOIs
Publication statusE-pub ahead of print - 29 Apr 2024

Data Availability Statement

No new data were created during this study.

Keywords

  • Homogenization
  • Resolvent asymptotics
  • Resonant composites
  • Wave propagation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this