Special Session 20: Poster Session

Criteria on the existence and stability of pullback exponential attractors and their applications

Yanan Li
Zhengzhou University
Peoples Rep of China
Co-Author(s):    Zhijian Yang
Abstract:
In this talk, we are concerned with the existence and stability of pullback exponential attractors for a non-autonomous dynamical system. (i) We propose two new criteria for the discrete dynamical system and continuous one, respectively. (ii) By applying the criteria to the non-autonomous Kirchhoff wave models with structural damping and supercritical nonlinearity we construct a family of pullback exponential attractors which are stable with respect to perturbations.