3 papers
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.DS2025
Shadowing for Infinite Dimensional Dynamical Systems
José M. Arrieta, Alexandre N. Carvalho, Carlos R. Takaessu
In this paper we extend to an infinite dimensional setting some results on the shadowing property that are known on finite dimensional compact manifolds without border and in $\mat…
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…