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math.AP2026
A brush problem. Homogenization involving thin domains and PDEs in graphs
José M. Arrieta, JoaquÃn DomÃnguez-de-Tena
This work analyses the homogenization of a linear elliptic equation with Neumann boundary conditions in a comb/brush domain, composed of a fixed base and a family of thin teeth. Th…
math.AP2024
Homogenization in 3D thin domains with oscillating boundaries of different orders
José M. Arrieta, Jean Carlos Nakasato, Manuel Villanueva-Pesqueira
This paper presents an extension of the unfolding operator technique, initially applied to two-dimensional domains, to the realm of three-dimensional thin domains. The advancement…