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

TL;DR

This paper introduces a new homogenisation method for critical contrast materials, explicitly linking the limits to time-dispersive media through norm-resolvent asymptotics.

Contribution

It presents a unified approach to critical-contrast homogenisation with explicit construction of asymptotics and connects homogenisation limits to time-dispersive media.

Findings

Explicit norm-resolvent asymptotics constructed

Homogenisation limits related to time-dispersive media

Provides a unified framework for critical-contrast homogenisation

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.