Homogenization of an incompressible non-Newtonian flow through a thin porous medium

M Anguiano, FJ Suárez-Grau - Zeitschrift für angewandte Mathematik und …, 2017 - Springer
In this paper, we consider a non-Newtonian flow in a thin porous medium Ω _ ε Ω ε of
thickness ε ε which is perforated by periodically solid cylinders of size a_ ε a ε. The flow is …

The p-Laplacian equation in thin domains: The unfolding approach

JM Arrieta, JC Nakasato, MC Pereira - Journal of Differential Equations, 2021 - Elsevier
In this work we apply the so called Unfolding Operator Method to analyze the asymptotic
behavior of the solutions of the p-Laplacian equation with Neumann boundary condition in a …

The p-Laplacian in thin channels with locally periodic roughness and different scales

JC Nakasato, MC Pereira - Nonlinearity, 2022 - iopscience.iop.org
The p-Laplacian in thin channels with locally periodic roughness and different scales* Page 1
Nonlinearity PAPER • OPEN ACCESS The p-Laplacian in thin channels with locally periodic …

[HTML][HTML] Nonlocal problems in thin domains

MC Pereira, JD Rossi - Journal of Differential Equations, 2017 - Elsevier
In this paper we consider nonlocal problems in thin domains. First, we deal with a nonlocal
Neumann problem, that is, we study the behavior of the solutions to f (x)=∫ Ω 1× Ω 2 J ϵ (x …

A reiterated homogenization problem for the p-Laplacian equation in corrugated thin domains

JC Nakasato, MC Pereira - Journal of Differential Equations, 2024 - Elsevier
In this paper, we study the asymptotic behavior of the solutions of the p-Laplacian equation
with mixed homogeneous Neumann-Dirichlet boundary conditions. It is posed in a two …

Asymptotic analysis of a semilinear elliptic equation in highly oscillating thin domains

MC Pereira - Zeitschrift für angewandte Mathematik und Physik, 2016 - Springer
In this work we are interested in the asymptotic behavior of a family of solutions of a
semilinear elliptic problem with homogeneous Neumann boundary condition defined in a …

[HTML][HTML] Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries

JM Arrieta, A Nogueira, MC Pereira - Computers & Mathematics with …, 2019 - Elsevier
In this work we study the behavior of a family of solutions of a semilinear elliptic equation,
with homogeneous Neumann boundary condition, posed in a two-dimensional oscillating …

A classical approach for the -Laplacian in oscillating thin domains

JC Nakasato, MC Pereira - 2021 - projecteuclid.org
In this work we study the asymptotic behavior of solutions to the p-Laplacian equation posed
in a 2-dimensional open set which degenerates into a line segment when a positive …

Nonlocal evolution problems in thin domains

MC Pereira, JD Rossi - Applicable Analysis, 2018 - Taylor & Francis
In this paper, we consider parabolic nonlocal problems in thin domains. Fix and consider be
the solution to with initial condition and a kernel of the form with J non-singular. This …

Two-scale convergence in thin domains with locally periodic rapidly oscillating boundary

I Pettersson - arXiv preprint arXiv:1703.09027, 2017 - arxiv.org
The aim of this paper is to adapt the notion of two-scale convergence in $ L^ p $ to the case
of a measure converging to a singular one. We present a specific case when a thin cylinder …