2 papers
math.AP2026
Asymptotic analysis of Dirichlet problems in supercritically perforated domains via quantification by torsional rigidity
Naoto Sato
We study the Dirichlet problem on varying open sets , with uniformly elliptic coefficients $A^{\varepsil…
math.AP2026
Homogenization for the Poisson equation in domains perforated by random closed sets
Naoto Sato
We study the homogenization of the Poisson equation in randomly perforated domains and obtain the strange term effect in the homogenized equation. The perforations are modeled by r…