28 citations · 51 across the 6 of their papers we have counts for
6 papers
Elliptic Equations in Weak Oscillatory Thin Domains: Beyond Periodicity with Boundary-Concentrated Reaction Terms
Pricila S. Barbosa, Manuel Villanueva-Pesqueira
In this paper we analyze the limit behavior of a family of solutions of the Laplace operator with homogeneous Neumann boundary conditions, set in a two-dimensional thin domain whic…
Elliptic and parabolic problems in thin domains with doubly weak oscillatory boundary
José M. Arrieta, Manuel Villanueva-Pesqueira
In this work we consider higher dimensional thin domains with the property that both boundaries, bottom and top, present oscillations of weak type. We consider the Laplace operator…
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…
Straight rod with different order of thickness
Georges Griso, Manuel Villanueva Pesqueira
In this paper, we consider rods whose thickness vary linearly between $\eps$ and $\eps^2$. Our aim is to study the asymptotic behavior of these rods in the framework of the linear…
Unfolding operator method for thin domains with a locally periodic highly oscillatory boundary
José M. Arrieta, Manuel Villanueva-Pesqueira
We analyze the behavior of solutions of the Poisson equation with homogeneous Neumann boundary conditions in a two-dimensional thin domain which presents locally periodic oscillati…
Thin domains with doubly oscillatory boundary
José M. Arrieta, Manuel Villanueva-Pesqueira
We consider a 2-dimensional thin domain with order of thickness ε which presents oscillations of amplitude also ε on both boundaries, top and bottom, but the period of the oscillat…