Effective behaviour of critical-contrast PDEs: micro-resonances, frequency conversion, and time dispersive properties. II
Analysis of PDEs
2024-03-04 v2 Mathematical Physics
math.MP
Abstract
We construct an order-sharp theory for a double-porosity model in the full linear elasticity setup. Crucially, we uncover time and frequency dispersive properties of highly oscillatory elastic composites.
Keywords
Cite
@article{arxiv.2307.01125,
title = {Effective behaviour of critical-contrast PDEs: micro-resonances, frequency conversion, and time dispersive properties. II},
author = {Kirill Cherednichenko and Alexander Kiselev and Igor Velčić and Josip Žubrinić},
journal= {arXiv preprint arXiv:2307.01125},
year = {2024}
}
Comments
52 pages, 4 figures