Unfolding operator method for thin domains with a locally periodic highly oscillatory boundary
JM Arrieta, M Villanueva-Pesqueira - SIAM Journal on Mathematical Analysis, 2016 - SIAM
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 …
boundary conditions in a two-dimensional thin domain which presents locally periodic …
Quasilinear problems with nonlinear boundary conditions in higher-dimensional thin domains with corrugated boundaries
JC Nakasato, MC Pereira - Advanced Nonlinear Studies, 2023 - degruyter.com
In this work, we analyze the asymptotic behavior of a class of quasilinear elliptic equations
defined in oscillating (N+ 1)-dimensional thin domains (ie, a family of bounded open sets …
defined in oscillating (N+ 1)-dimensional thin domains (ie, a family of bounded open sets …
Roughness-induced effects on the convection–diffusion–reaction problem in a thin domain
In this paper, we investigate a convection–diffusion–reaction problem in a thin domain
endowed with the Robin-type boundary condition describing the reaction catalyzed by the …
endowed with the Robin-type boundary condition describing the reaction catalyzed by the …
[HTML][HTML] Semilinear elliptic equations in thin domains with reaction terms concentrating on boundary
SRM Barros, MC Pereira - Journal of Mathematical Analysis and …, 2016 - Elsevier
In this paper we analyze the behavior of a family of steady state solutions of a semilinear
reaction–diffusion equation with homogeneous Neumann boundary condition, posed in a …
reaction–diffusion equation with homogeneous Neumann boundary condition, posed in a …
[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 …
Neumann problem, that is, we study the behavior of the solutions to f (x)=∫ Ω 1× Ω 2 J ϵ (x …
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 …
semilinear elliptic problem with homogeneous Neumann boundary condition defined in a …
[HTML][HTML] Spectrum of a singularly perturbed periodic thin waveguide
G Cardone, A Khrabustovskyi - Journal of Mathematical Analysis and …, 2017 - Elsevier
We consider a family {Ω ε} ε> 0 of periodic domains in R 2 with waveguide geometry and
analyse spectral properties of the Neumann Laplacian− Δ Ω ε on Ω ε. The waveguide Ω ε is …
analyse spectral properties of the Neumann Laplacian− Δ Ω ε on Ω ε. The waveguide Ω ε is …
[HTML][HTML] Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries
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 …
with homogeneous Neumann boundary condition, posed in a two-dimensional oscillating …
[PDF][PDF] Homogenization of a non-periodic oscillating boundary via periodic unfolding
S Aiyappan, K Pettersson, A Sufian - Differ. Equ. Appl., 2022 - files.ele-math.com
This paper deals with the homogenization of an elliptic model problem in a twodimensional
domain with non-periodic oscillating boundary by the method of periodic unfolding. For the …
domain with non-periodic oscillating boundary by the method of periodic unfolding. For the …
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 …
in a 2-dimensional open set which degenerates into a line segment when a positive …