K. D. Cherednichenko, Yu. Yu. Ershova, A. V. Kiselev, S. N. Naboko, “Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media”, Tr. Mosk. Mat. Obs., 2019, Volume 80, Issue 2,Pages <nobr>295

This article is cited in 5 papers

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

K. D. Cherednichenko^a, Yu. Yu. Ershova^ab, A. V. Kiselev^cd, S. N. Naboko^ef

^a Department of Mathematical Sciences, University of Bath, United Kingdom
^b Department of Mathematics, St. Petersburg State University of Architecture and Civil Engineering, Russia
^c International research laboratory “Multiscale Model Reduction”, Ammosov North-Eastern Federal University, Yakutsk, Russia
^d Departamento de Física Matemática, Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México
^e Department of Higher Mathematics and Mathematical Physics, St. Petersburg State University, Russia
^f Department of Mathematics, Stockholm University, Sweden

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.

Key words and phrases: Homogenisation, critical-contrast, time dispersion, graphs, dilation, generalised resolvent.

UDC: 517.98

MSC: Primary 34E13; Secondary 34E05, 35P20, 47A20, 81Q35

Received: 15.07.2019

Language: English