Continuity of attractors for a reaction–diffusion problem with nonlinear boundary conditions with respect to variations of the domain

AL Pereira, MC Pereira - Journal of Differential Equations, 2007 - Elsevier
Continuity of attractors for a reaction–diffusion problem with nonlinear boundary conditions
with respect to variations of the Page 1 J. Differential Equations 239 (2007) 343–370 www.elsevier.com/locate/jde …

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 …

Continuity of attractors for a family of perturbations of the square

PS Barbosa, AL Pereira, MC Pereira - Annali di Matematica Pura ed …, 2017 - Springer
We consider here the family of semilinear parabolic problems {u_t (x, t) &= & Δ u (x, t)-au (x,
t)+ f (u (x, t)),\quad x ∈ Ω _ ϵ and\quad t> 0,\\displaystyle ∂ u ∂ N (x, t) &= & g (u (x …

[PDF][PDF] Continuity of attractors for a reaction-diffusion problem with respect to variations of the domain.

LAF De Oliveira, AL Pereira, MC Pereira - Electronic Journal of …, 2005 - eudml.org
\noindent Electronic Journal of Differential Equations , Vol . 2005 ( 2005 ) , No . 1 0 , pp . 1 −− 1
8 \noindent ISSN : 1 7 Page 1 \noindent Electronic Journal of Differential Equations , Vol …

Delay nonlinear boundary conditions as limit of reactions concentrating in the boundary

G da Silva Aragão, SM Oliva - Journal of Differential Equations, 2012 - Elsevier
In this work, we are interested in the dynamic behavior of a parabolic problem with nonlinear
boundary conditions and delay in the boundary. We construct a reaction–diffusion problem …

[PDF][PDF] Continuity of attractors for C^ 1 perturbations of a smooth domain

PS Barbosa, AL Pereira - 2020 - digital.library.txstate.edu
We consider a family of semilinear parabolic problems with non-linear boundary conditions
ut (x, t)=∆ u (x, t)-αu (x, t)+ ƒ (u (x, t)), x∈ Ωɛ, t> 0,∂ u/∂ N (x, t)= g (u (x, t)), x∈∂ Ωɛ, t> 0 …

Rate of convergence for reaction–diffusion equations with nonlinear Neumann boundary conditions and variation of the domain

MC Pereira, L Pires - Journal of Evolution Equations, 2024 - Springer
In this paper, we propose the compact convergence approach to deal with the continuity of
attractors of some reaction–diffusion equations under smooth perturbations of the 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] Asymptotic behavior of a reaction-diffusion problem with delay and reaction term concentrated in the boundary

G da Silva Aragao, SM Oliva - Sao Paulo Journal of Mathematical …, 2011 - revistas.usp.br
In this work we analyze the asymptotic behavior of the solutions of a reaction-diffusion
problem with delay when the reaction term is concentrated in a neighborhood of the …

Cascades of Hopf bifurcations from boundary delay

JM Arrieta, N Cónsul, SM Oliva - Journal of mathematical analysis and …, 2010 - Elsevier
We consider a 1-dimensional reaction–diffusion equation with nonlinear boundary
conditions of logistic type with delay. We deal with non-negative solutions and analyze the …