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

Kirill Cherednichenko; Alexander V. Kiselev; Igor Velcic; Josip Zubrinic

doi:10.1007/s00220-024-05221-1

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

Kirill Cherednichenko, Alexander V. Kiselev, Igor Velcic, Josip Zubrinic

University of Zagreb

Research output: Contribution to journal › Article › peer-review

1 Citation (SciVal)

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.

Original language	English
Article number	72
Journal	Communications in Mathematical Physics
Volume	406
Issue number	4
Early online date	5 Mar 2025
DOIs	https://doi.org/10.1007/s00220-024-05221-1
Publication status	Published - 30 Apr 2025

Funding

KC and AVK have been supported by EPSRC (Grants EP/L018802/2, EP/V013025/1.) IV and J\u017D have been supported by the Croatian Science Foundation under Grant agreement No. IP-2018-01-8904 (Homdirestroptcm) and under Grant agreement No. IP-2022-10-5181 (HOMeOS).

Funders	Funder number
Engineering and Physical Sciences Research Council	EP/L018802/2, EP/V013025/1
Hrvatska Zaklada za Znanost	IP-2022-10-5181, IP-2018-01-8904

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10.1007/s00220-024-05221-1Licence: CC BY

https://arxiv.org/abs/2307.01125

Cite this

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

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.",

author = "Kirill Cherednichenko and Kiselev, \{Alexander V.\} and Igor Velcic and Josip Zubrinic",

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T2 - micro-resonances, frequency conversion, and time dispersive properties. II

AU - Cherednichenko, Kirill

AU - Kiselev, Alexander V.

AU - Velcic, Igor

AU - Zubrinic, Josip

PY - 2025/4/30

Y1 - 2025/4/30

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/86000284368

U2 - 10.1007/s00220-024-05221-1

DO - 10.1007/s00220-024-05221-1

M3 - Article

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JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

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

Abstract

Funding

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Quantitative tools for upscaling the micro-geometry of resonant media

Mathematical Foundations of Metamaterials: Homogenisation, Dissipation and Operator Theory

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

Abstract

Funding

Access to Document

Other files and links

Fingerprint

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Quantitative tools for upscaling the micro-geometry of resonant media

Mathematical Foundations of Metamaterials: Homogenisation, Dissipation and Operator Theory

Cite this