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Trudy Moskovskogo Matematicheskogo Obshchestva, 2019, Volume 80, Issue 2, Pages 295–342
(Mi mmo632)
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This article is cited in 5 scientific papers (total in 5 papers)
Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media
K. D. Cherednichenkoa, Yu. Yu. Ershovaab, A. V. Kiselevcd, S. N. Nabokoef 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.
Received: 15.07.2019
Citation:
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., 80, no. 2, MCCME, M., 2019, 295–342; Trans. Moscow Math. Soc., 80 (2019), 251–294
Linking options:
https://www.mathnet.ru/eng/mmo632 https://www.mathnet.ru/eng/mmo/v80/i2/p295
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