Structure of the attractor for a non-local Chafee-Infante problem
Dynamical Systems
2021-07-12 v1 Analysis of PDEs
Abstract
In this article, we study the structure of the global attractor for a non-local one-dimensional quasilinear problem. The strong relation of our problem with a non-local version of the Chafee-Infante problem allows us to describe the structure of its attractor. For that, we made use of the Conley index and the connection matrix theories in order to find geometric information such as the existence of heteroclinic connections between the equilibria. In this way, the structure of the attractor is completely described.
Keywords
Cite
@article{arxiv.2107.04334,
title = {Structure of the attractor for a non-local Chafee-Infante problem},
author = {Estefani M. Moreira and José Valero},
journal= {arXiv preprint arXiv:2107.04334},
year = {2021}
}