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

Cherednichenko, K.; Ershova, Yu.; Kiselev, A.; Naboko, S.

doi:10.1090/mosc/291

Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media
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by K. D. Cherednichenko, Yu. Yu. Ershova, A. V. Kiselev and S. N. Naboko

Trans. Moscow Math. Soc. 2019, 251-294

DOI: https://doi.org/10.1090/mosc/291

Published electronically: April 1, 2020

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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.

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