An introduction to the Pullback exponential attractor associated with a system of non-autonomous nonlinear Schrödinger equations­.

Palestrante: Rodiak Nicolai Figueroa López
Programa de Pós-Graduação em Matemática da UFSCar

Data: 25/09
Horário: das 16:45 às 17:15 horas
Local: Auditório do DM

Resumo: In this talk we consider the system of non-autonomous nonlinear Schrödinger equations with homogeneous Dirichlet boundary conditions in a domain [0,L] and time-dependent forcing. We study the local and global well-posedness and establish the existence of the family of pullback exponential attractors associated with the problem. As a consequence, we also derive the existence of a pullback attractor whose sections have finite fractal dimension uniformly bounded in time
This work is together with the professor PhD. Marcelo J. D. Nascimento (UFSCar, Brasil) and  the postdoctoral student PhD. Vinicius T. Azevedo (UFSCar, Brasil).