Seminario del Departamento de
Ecuaciones Diferenciales y Análisis Numérico

Fecha : 26 de noviembre de 2021
Hora  : 11:00
Lugar : Seminario del Departamento (Fac. de Matemáticas, 3a. planta, módulo 34)

Alexandre do Nascimento Oliveira Sousa

(Universidade de São Paulo (Brasil))

Resumen

We study continuity and topological structural stability of attractors for nonautonomous random differential equations obtained by small bounded random perturbations of autonomous semilinear problems. First, we study existence and permanence of unstable sets of hyperbolic solutions. Then, we use this to establish lower semicontinuity of nonautonomous random attractors and to show that the gradient structure persists under nonautonomous random perturbations.