Prof. Leonardo Pires

State University of Ponta Grossa, Brazil

## Structural stability for scalar reaction-diffusion equations

In this talk, we present 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 estimate the Gromov-Hausdorff distance of the attractors using continuous ε-isometries.

Prof. Leonardo Pires

State University of Ponta Grossa, Brazil

## Structural stability for scalar reaction-diffusion equations

In this talk, we present 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 estimate the Gromov-Hausdorff distance of the attractors using continuous ε-isometries.