3 papers
math.AP2025
Pullback dynamics for a semilinear heat equation with homogeneous Neumann boundary conditions on time-varying domains
Gleiciane S. Aragão, Flank D. M. Bezerra, Lucas G. Mendonça
We are interested in studying a non-autonomous semilinear heat equation with homogeneous Neumann boundary conditions on time-varying domains. Using a differential geometry approach…
math.AP2024
Upper semicontinuity for a class of nonlocal evolution equations with Neumann condition
Flank D. M. Bezerra, Silvia Sastre-Gomez, Severino H. da Silva
In this paper we consider the following nonlocal autonomous evolution equation in a bounded domain in \[ \partial_t u(x,t) =- h(x)u(x,t) + g \Big(\int_Ω J(x,y)…
math.AP2024
The effect of perturbations on the convergence of attractors for reaction-diffusion equations concerning variations of nonlinear boundary conditions
Flank D. M. Bezerra, Marcone C. Pereira, Leonardo Pires
This paper presents estimates of the convergence of asymptotic dynamics of reaction-diffusion equations with nonlinear boundary conditions. We show how the convergence of the globa…