Effective behaviour of critical-contrast PDEs: micro-resonances, frequency conversion, and time dispersive properties. II

Fuente: arXiv
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Main Authors: Cherednichenko, Kirill, Kiselev, Alexander, Velčić, Igor, Žubrinić, Josip
Format: Preprint
Published: 2023
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_version_ 1866916143144370176
author Cherednichenko, Kirill
Kiselev, Alexander
Velčić, Igor
Žubrinić, Josip
author_facet Cherednichenko, Kirill
Kiselev, Alexander
Velčić, Igor
Žubrinić, Josip
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2307_01125
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Effective behaviour of critical-contrast PDEs: micro-resonances, frequency conversion, and time dispersive properties. II
Cherednichenko, Kirill
Kiselev, Alexander
Velčić, Igor
Žubrinić, Josip
Analysis of PDEs
Mathematical Physics
Primary 35Q99, Secondary 47F05, 47N50, 35B27, 47A10, 81U30
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.
title Effective behaviour of critical-contrast PDEs: micro-resonances, frequency conversion, and time dispersive properties. II
topic Analysis of PDEs
Mathematical Physics
Primary 35Q99, Secondary 47F05, 47N50, 35B27, 47A10, 81U30
url https://arxiv.org/abs/2307.01125