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math.AP2025
Quantitative homogenisation for differential equations with highly anisotropic partially degenerating coefficients
Shane Cooper, Ilia Kamotski
We consider a non-uniformly elliptic second-order differential operator with periodic coefficients that models composite media consisting of highly anisotropic cylindrical fibres p…
math.AP2024
Fibre homogenisation for time-dependent problems
Shane Cooper, Imane Essadeq, Marcus Waurick
In this article we provide a method for establishing operator-type error estimates between solutions to rapidly oscillating evolutionary equations and their homogenised counter par…