Article
About the Structure of Attractors for a Nonlocal Chafee-Infante Problem
Author/s | Caballero, Rubén
Carvalho, Alexandre N. Marín Rubio, Pedro Valero, José |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2021 |
Deposit Date | 2022-07-01 |
Published in |
|
Abstract | In this paper, we study the structure of the global attractor for the multivalued semiflow
generated by a nonlocal reaction-diffusion equation in which we cannot guarantee the uniqueness of
the Cauchy problem. First, we ... In this paper, we study the structure of the global attractor for the multivalued semiflow generated by a nonlocal reaction-diffusion equation in which we cannot guarantee the uniqueness of the Cauchy problem. First, we analyse the existence and properties of stationary points, showing that the problem undergoes the same cascade of bifurcations as in the Chafee-Infante equation. Second, we study the stability of the fixed points and establish that the semiflow is a dynamic gradient. We prove that the attractor consists of the stationary points and their heteroclinic connections and analyse some of the possible connections. |
Citation | Caballero, R., Carvalho, A.N., Marín Rubio, P. y Valero, J. (2021). About the Structure of Attractors for a Nonlocal Chafee-Infante Problem. Mathematics, 9, 2-36. |
Files | Size | Format | View | Description |
---|---|---|---|---|
About the Structure of Attractors ... | 1.240Mb | [PDF] | View/ | |