Seminario del Departamento de
Ecuaciones Diferenciales y Análisis Numérico

Fecha : 9 de noviembre de 2023
Hora  : 12:30
Lugar : Seminario del Departamento (Fac. de Matemáticas, 3a. planta, módulo 34)

Dr. Phillipo Lappicy

(Universidad Complutense de Madrid)

Resumen

We explicitly construct global attractors of nonlinear parabolic equations with two types of phenomena. First, in case the semiflow is dissipative, the attractor is compact and it can be decomposed as equilibria and heteroclinic orbits. Second, in case the semiflow is not dissipative, the attractor is unbounded and can be compactified in an appropriate way. In particular, we can also classify solutions as bounded or unbounded equilibria and heteroclinics. In both cases, we state necessary and sufficient conditions for the occurrence of heteroclinics between hyperbolic equilibria. The prototype examples are a bounded and unbounded version of the Chafee-Infante attractor