Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media

Kirill Cherednichenko; Yulia Ershova; Alexander V. Kiselev; Sergey Naboko

doi:10.1090/mosc/291

Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media

Kirill Cherednichenko, Yulia Ershova, Alexander V. Kiselev, Sergey Naboko

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Abstract

A novel approach to critical-contrast homogenisation is proposed. Norm-resolvent asymptotics are explicitly constructed. An essential feature of our approach is that it relates homogenisation limits to a class of time-dispersive media.

Original language	English
Pages (from-to)	251-294
Journal	Transactions of the Moscow Mathematical Society
Volume	80
Issue number	2
DOIs	https://doi.org/10.1090/mosc/291
Publication status	Published - 2019

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10.1090/mosc/291

1805.00884.PDF
FORTHCOMING: First published in Transactions of the Moscow Mathematical Society. vol (date), published by the American Mathematical Society. © date copyright holder.
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https://arxiv.org/abs/1805.00884

Newton Mobility Grant -: Homogenisation of Degenerate Equations and Scattering for New Materials
Cherednichenko, K. (PI)
The Royal Society
1/02/17 → 31/01/19
Project: Research council
Mathematical Foundations of Metamaterials: Homogenisation, Dissipation and Operator Theory
Cherednichenko, K. (PI)
Engineering and Physical Sciences Research Council
23/07/14 → 22/06/19
Project: Research council

Cite this

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title = "Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media",

abstract = "A novel approach to critical-contrast homogenisation is proposed. Norm-resolvent asymptotics are explicitly constructed. An essential feature of our approach is that it relates homogenisation limits to a class of time-dispersive media. ",

author = "Kirill Cherednichenko and Yulia Ershova and Kiselev, {Alexander V.} and Sergey Naboko",

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AU - Kiselev, Alexander V.

AU - Naboko, Sergey

PY - 2019

Y1 - 2019

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AB - A novel approach to critical-contrast homogenisation is proposed. Norm-resolvent asymptotics are explicitly constructed. An essential feature of our approach is that it relates homogenisation limits to a class of time-dispersive media.

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DO - 10.1090/mosc/291

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SP - 251

EP - 294

JO - Transactions of the Moscow Mathematical Society

JF - Transactions of the Moscow Mathematical Society

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Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media

Abstract

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Projects

Newton Mobility Grant -: Homogenisation of Degenerate Equations and Scattering for New Materials

Mathematical Foundations of Metamaterials: Homogenisation, Dissipation and Operator Theory

Cite this