4 papers · 1 filter
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…