5 papers
On the identification of certain classes of gap-rich sets
Jake Fillman, Yi-Sheng Lim
The notion of gap-richness was recently introduced to quantify the ability to open spectral gaps for periodic word models by arbitrarily small perturbations and is useful in the co…
Revisiting Picard's proof of the Picard--Weber--Weck selection theorem
Yi-Sheng Lim, Timo Sprekeler, Marcus Waurick
Revisiting the rationale provided by Picard in the seminal paper [13], we provide an independent, self-contained proof of the Maxwell compactness property for weak Lipschitz domain…
Higher-order homogenization for equations of linearized elasticity using the operator-asymptotic approach
Yi-Sheng Lim, Josip Žubrinić
The operator-asymptotic approach was introduced by Lim-Žubrinić in [Asymptotic Analysis. 141(4), p. 211-256 (2025)] for the homogenization of an -periodic…
Operator aspects of wave propagation through periodic media
Kirill Cherednichenko, Yi-Sheng Lim
Recent results in quantitative homogenisation of the wave equation with rapidly oscillating coefficients are discussed from the operator-theoretic perspective, which views the solu…
An operator-asymptotic approach to periodic homogenization for equations of linearized elasticity
Yi-Sheng Lim, Josip Žubrinić
We present an operator-asymptotic approach to the problem of homogenization of periodic composite media in the setting of three-dimensional linearized elasticity. This is based on…