Palestras e Seminários
13/11/2024
14:00
Palestrante: Yanan Li
https://sites.google.com/usp.br/evol-eq-and-dyn-systems
Responsável: Estefani Moraes Moreira (
Modo: À distância
Webinar on Evolution Equations and Dynamical Systems
Abstract: In this talk, we investigate the continuity of the attractors in time-dependent phase spaces. We establish two abstract criteria on the upper semicontinuity and the residual continuity of the pullback D-attractor with respect to the perturbations, propose the notion of pullback D-exponential attractor, and establish its existence and Hölder continuity criterion via quasi-stability method. By applying above-mentioned criteria, we show the continuity of attractors to the semilinear damped wave equations with time-dependent speed of propagation.