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math.AP2024
Rate of convergence of attractors for semilinear singularly perturbed problems: scalar parabolic equations with localized large diffusion
Leonardo Pires, Alexandre Nolasco de Carvalho
In this paper we study the asymptotic nonlinear dynamics of scalar semilinear parabolic problems reaction-diffusion type when the diffusion coefficient becomes large in a subregion…
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…