
25/05/2023
14:00
Online / à distância
Palestrante: Leonardo Pires
Responsável: Yessica Yulieth Julio Pérez (yessica.julio@usp.br)
Resumo: In talk, we prove the structural stability of a family of scalar reaction-diffusion equations. Our arguments consist of using invariant manifolds to reduce the problem to a finite dimension and, we use the structural stability of Morse-Smale flows in a finite dimension to obtain the corresponding result in an infinite dimension. As a consequence, we obtain the optimal rate of convergence of the attractors and we estimate the Gromov-Hausdorff distance of the attractors using continuous $\varepsilon$-isometries.
If you are interested in attending the lecture, please send an email to yessica.julio@usp.br asking for the link.