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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …