Attractors for a nonlinear parabolic problem with terms concentrating on the boundary

GS Aragao, AL Pereira, MC Pereira - Journal of Dynamics and Differential …, 2014 - Springer
We analyze the dynamics of the flow generated by a nonlinear parabolic problem when
some reaction and potential terms are concentrated in a neighborhood of the boundary. We …

A nonlinear elliptic problem with terms concentrating in the boundary

GS Aragão, AL Pereira… - Mathematical Methods in …, 2012 - Wiley Online Library
In this paper, we investigate the behavior of a family of steady‐state solutions of a nonlinear
reaction diffusion equation when some reaction and potential terms are concentrated in a ε …

[HTML][HTML] Upper semicontinuity of the pullback attractors of non-autonomous damped wave equations with terms concentrating on the boundary

GS Aragão, FDM Bezerra - Journal of Mathematical Analysis and …, 2018 - Elsevier
In this paper we analyze the asymptotic behavior of the pullback attractors of a non-
autonomous damped wave equation when some reaction terms are concentrated in a …

[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 …

A nonlinear damped transmission problem as limit of wave equations with concentrating nonlinear terms away from the boundary

Á Jiménez-Casas, A Rodríguez-Bernal - Nonlinear Analysis, 2024 - Elsevier
In this paper we study an initial and boundary value problem for damped wave equations
with nonlinear singular terms concentrating away from the boundary of the domain, on an …

Elliptic equations in weak oscillatory thin domains: Beyond periodicity with boundary‐concentrated reaction terms

PS Barbosa… - Mathematical Methods in …, 2024 - Wiley Online Library
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 …

Remarks on semilinear parabolic systems with terms concentrating in the boundary

MC Pereira - Nonlinear Analysis: Real World Applications, 2013 - Elsevier
We are concerned with the asymptotic behavior of a dynamical system generated by a family
of semilinear parabolic systems with reaction and potential terms concentrating in a …

[PDF][PDF] On the nonlinear convection-diffusion-reaction problem in a thin domain with a weak boundary absorption

I Pažanin, MC Pereira - Commun. Pure Appl. Anal, 2018 - pdfs.semanticscholar.org
Motivated by the applications from chemical engineering, in this paper we present a rigorous
derivation of the effective model describing the convection-diffusion-reaction process 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 …

[PDF][PDF] Nonlinear elliptic equations with concentrating reaction terms at an oscillatory boundary

JM Arrieta, A Nogueira, MC Pereira - Discrete & Continuous …, 2019 - repositorio.usp.br
In this paper we analyze the asymptotic behavior of a family of solutions of a semilinear
elliptic equation, with homogeneous Neumann boundary condition, posed in a two …