Time-Dispersive Behavior as a Feature of Critical-Contrast Media

DOI10.1137/18M1187167zbMath1499.74016arXiv1803.09372MaRDI QIDQ4631721

Alexander V. Kiselev, Yulia Yu. Ershova, Kirill D. Cherednichenko

Publication date: 18 April 2019

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.09372

zbMATH Keywords

operatorsasymptoticshomogenizationeffective propertiestime-dispersive media

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Random materials and composite materials (74A40) Spectral and related methods applied to problems in solid mechanics (74S25) Dilations, extensions, compressions of linear operators (47A20) Asymptotic expansions of solutions to ordinary differential equations (34E05) Multiple scale methods for ordinary differential equations (34E13)

Related Items (7)

Operator-norm resolvent asymptotic analysis of continuous media with high-contrast inclusions ⋮ Effective behaviour of critical-contrast PDEs: micro-resonances, frequency conversion, and time dispersive properties. I ⋮ FUNCTIONAL MODEL FOR BOUNDARY‐VALUE PROBLEMS ⋮ Scattering theory for a class of non-selfadjoint extensions of symmetric operators ⋮ Linear Operators and Operator Functions Associated with Spectral Boundary Value Problems ⋮ Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media ⋮ Operator-norm homogenisation estimates for the system of Maxwell equations on periodic singular structures

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